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Axions and the strong CP problem

Jihn E. Kim* and Gianpaolo Carosi†

Jihn E. Kim*

  • Department of Physics and Astronomy and Center for Theoretical Physics, Seoul National University, Seoul 151-747, Korea

Gianpaolo Carosi†

  • Physical Sciences Directorate, Lawrence Livermore National Laboratory, Livermore, California 94550, USA

  • *jekim@ctp.snu.ac.kr
  • †carosi2@llnl.gov
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Rev. Mod. Phys. 82, 557 – Published 4 March, 2010Erratum Rev. Mod. Phys. 91, 049902 (2019)

DOI: https://doi.org/10.1103/RevModPhys.82.557

Abstract

Current upper bounds on the neutron electric dipole moment constrain the physically observable quantum chromodynamic (QCD) vacuum angle |θ¯|≲10−11. Since QCD explains a great deal of experimental data from the 100MeV to the TeV scale, it is desirable to explain this smallness of |θ¯| in the QCD framework; this is the strong CP problem. There now exist two plausible solutions to this problem, one of which leads to the existence of a very light axion. The axion decay constant window, 109≲Fa≲1012GeV for an O(1) initial misalignment angle θ1, has been obtained from astrophysical and cosmological data. For Fa≳1012GeV with θ1<O(1), axions may constitute a significant fraction of the dark matter of the universe. The supersymmetrized axion solution of the strong CP problem introduces its superpartner the axino, which might have affected the evolution of the Universe significantly. The very light axion (theory, supersymmetrization, and models) using recent particle, astrophysical, and cosmological data, and present prospects for its discovery is reviewed here.

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Erratum

Erratum: Axions and the strong CP problem [Rev. Mod. Phys. 82, 557 (2010)]

Jihn E. Kim and Gianpaolo Carosi
Rev. Mod. Phys. 91, 049902 (2019)

Article Text

References (385)

  1. Abbott, L. F., and P. Sikivie, 1983, Phys. Lett. B 120, 133.
  2. Adler, S. C., et al., 1996, Phys. Rev. Lett. 76, 1421.
  3. Adler, S. L., 1969, Phys. Rev. 177, 2426.
  4. Adler, S. L., J. Gamboa, F. Mendéz, and J. López-Sarrión, 2008, Ann. Phys. 323, 2851.
  5. Aharmin, B., et al. (SNO Collaboration), 2005, Phys. Rev. C 72, 055502.
  6. Ahmad, Q. R., et al. (SNO Collaboration), 2002, Phys. Rev. Lett. 89, 011301.
  7. Ahmed, Z., et al. (CDMS Collaboration), 2009a, Phys. Rev. Lett. 102, 011301.
  8. Ahmed, Z., et al. (CDMS Collaboration), 2009b, Phys. Rev. Lett. 103, 141802.
  9. Allanach, B. C., A. Dedes, and H. K. Dreiner, 2004, Phys. Rev. D 69, 115002.
  10. Amsler, C., et al. (Particle Data Group), 2008, Phys. Lett. B 667, 1.
  11. Andriamonje, S., et al. (CAST Collaboration), 2007, J. Cosmol. Astropart. Phys. 04, 010.
  12. Angle, J., et al. (Xenon Collaboration), 2008, Phys. Rev. Lett. 100, 021303.
  13. Antoniadis, I., N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, 1998, Phys. Lett. B 436, 257.
  14. Arkani-Hamed, N., S. Dimopoulos, and G. Dvali, 1998, Phys. Lett. B 429, 263.
  15. Asaka, T., and M. Yamaguchi, 1999, Phys. Rev. D 59, 125003.
  16. Asaka, T., and T. Yanagida, 2000, Phys. Lett. B 494, 297.
  17. Atick, J. J., L. J. Dixon, and A. Sen, 1987, Nucl. Phys. B 292, 109.
  18. Avignone, F. T., et al., 1998, Phys. Rev. Lett. 81, 5068.
  19. Babu, K. S., K. Choi, J. C. Pati, and X. Zhang, 1994, Phys. Lett. B 333, 364.
  20. Bae, K.-J., J.-H. Huh, and J. E. Kim, 2008, J. Cosmol. Astropart. Phys. 09, 005.
  21. Bae, K. J., J.-H. Huh, J. E. Kim, B. Kyae, and R. D. Viollier, 2009, Nucl. Phys. B 817, 58.
  22. Bahcall, J. N., A. M. Serenelli, and S. Basu, 2005, Astrophys. J. 621, L85.
  23. Baker, C. A., et al., 2006, Phys. Rev. Lett. 97, 131801.
  24. Baluni, V., 1979, Phys. Rev. D 19, 2227.
  25. Bardeen, W. A., H. Fritszch, and M. Gell-Mann, 1972, in Scale and Conformal Symmetry in Hadron Physics, edited by R. Gatto (Wiley-Interscience, New York), p. 139.
  26. Bardeen, W. A., R. D. Peccei, and T. Yanagida, 1987, Nucl. Phys. B 279, 401.
  27. Bardeen, W. A., and S.-H. H. Tye, 1978, Phys. Lett. B 76, 580.
  28. Barr, S. M., 1984, Phys. Rev. Lett. 53, 329.
  29. Barr, S. M., 1986, Phys. Lett. B 158, 397.
  30. Barr, S. M., K. Choi, and J. E. Kim, 1987, Nucl. Phys. B 283, 591.
  31. Barr, S. M., and P. Langacker, 1979, Phys. Rev. Lett. 42, 1654.
  32. Barr, S. M., and D. Seckel, 1992, Phys. Rev. D 46, 539.
  33. Battesti, R., et al., 2008, in Axions, edited by M. Kuster , Lecture Notes in Physics Vol. 741 (Springer, New York), p. 199.
  34. Becker, K., M. Becker, J.-X. Fu, L.-S. Tseng, and S.-T. Yau, 2006, Nucl. Phys. B 751, 108.
  35. Bég, M. A. B., and H. S. Tsao, 1978, Phys. Rev. Lett. 41, 278.
  36. Behnke, E., et al. (COUPP Collaboration), 2008, Science 319, 933.
  37. Belavin, A. A., A. Polyakov, A. Schwartz, and Y. Tyupkin, 1975, Phys. Lett. B 59, 85.
  38. Bell, J. S., and R. Jackiw, 1969, Nuovo Cimento A 60, 47.
  39. Beltrán, M., J. García-Bellido, and J. Lesgourgues, 2007, Phys. Rev. D 75, 103507.
  40. Bento, L., G. C. Branco, and P. A. Parada, 1991, Phys. Lett. B 267, 95.
  41. Berezhiani, Z. G., M. Khlopov, and R. R. Khomeriki, 1990, Yad. Fiz. 52, 104 [Sov. J. Nucl. Phys. 52, 65 (1990)].
  42. Bernabei, R., et al. (DAMA Collaboration), 2001, Phys. Lett. B 515, 6.
  43. Bernabei, R., et al. (DAMA Collaboration), 2003, Riv. Nuovo Cimento 26, 1.
  44. Bernabei, R., et al. (DAMA Collaboration), 2008, Eur. Phys. J. C 56, 333.
  45. Bershady, M. A., M. T. Ressell, and M. S. Turner, 1991, Phys. Rev. Lett. 66, 1398.
  46. Bertone, G., D. Hooper, and J. Silk, 2005, Phys. Rep. 405, 279.
  47. Blumenthal, G. R., S. M. Faber, J. R. Primack, and M. J. Rees, 1984, Nature (London) 311, 517.
  48. Boehm, C., A. Djouadi, and M. Drees, 2000, Phys. Rev. D 62, 035012.
  49. Bradley, R., 2003, Rev. Mod. Phys. 75, 777.
  50. Branco, G. C., 1980, Phys. Rev. Lett. 44, 504.
  51. Brandenburg, A., L. Covi, K. Hamaguchi, L. Roszkowski, and F. D. Steffen, 2005, Phys. Lett. B 617, 99.
  52. Brandenburg, A., and F. D. Steffen, 2004, J. Cosmol. Astropart. Phys. 08, 008.
  53. Braun, J., and H. Gies, 2007, Phys. Lett. B 645, 53.
  54. Buckley, M. R., and H. Murayama, 2007, e-print arXiv:0705.0542.
  55. Burgess, C. P., L. E. Ibanez, and F. Quevedo, 1999, Phys. Lett. B 447, 257.
  56. Callan, C. G., R. F. Dashen, and D. J. Gross, 1976, Phys. Lett. B 63, 334.
  57. Cameron, R., et al. (RBFT Collaboration), 1991, Phys. Lett. A 157, 125.
  58. Cameron, R., et al. (RBFT Collaboration), 1993, Phys. Rev. D 47, 3707.
  59. Carena, M., and R. D. Peccei, 1989, Phys. Rev. D 40, 652.
  60. Carosi, G., 2007, in 6th International Conference of the Balkan Physical Union Strings, edited by S. A. Cetin, and I. Hikmet, AIP Conf. Proc. No. 899 (AIP, Melville, NY), p. 30.
  61. Carosi, G., and K. van Bibber, 2008, in Axions, edited by M. Kuster , Lecture Notes in Physics Vol. 741 (Springer, New York), p. 135.
  62. Carosi, G., K. van Bibber, and M. Pivovaroff, 2008, Contemp. Phys. 49, 281.
  63. Casas, A., E. K. Katehou, and C. Muñoz, 1988, Nucl. Phys. B 317, 171.
  64. Casas, A., and C. Muñoz, 1993, Phys. Lett. B 306, 288.
  65. Catelan, M., J. A. de Freista Pacheco, and J. E. Horvath, 1996, Astrophys. J. 461, 231.
  66. Cea, P., and G. Nardulli, 1984, Phys. Lett. B 144, 115.
  67. Cerdeño, D. G., K.-Y. Choi, K. Jedamzik, L. Roszkowski, and R. Ruiz de Austri, 2006, J. Cosmol. Astropart. Phys. 06, 005.
  68. Cerdeño, D. G., C. Hugonie, D. E. López-Fogliani, C. Muñoz, and A. M. Teixeira, 2004, J. High Energy Phys. 12, 048.
  69. Chang, D., X. G. He, and B. H. J. McKellar, 2001, Phys. Rev. D 63, 096005.
  70. Chang, D., and W.-Y. Keung, 2004, Phys. Rev. D 70, 051901.
  71. Chang, H. M., et al., 2007, Phys. Rev. D 75, 052004.
  72. Chang, S., and K. Choi, 1993, Phys. Lett. B 316, 51.
  73. Chang, S., C. Hagmann, and P. Sikivie, 1998, e-print arXiv:hep-ph/9812321.
  74. Chang, S., C. Hagmann, and P. Sikivie, 1999, Phys. Rev. D 59, 023505.
  75. Chang, S., and H. B. Kim, 1996, Phys. Rev. Lett. 77, 591.
  76. Chang, S., S. Tazawa, and M. Yamaguchi, 2000, Phys. Rev. D 61, 084005.
  77. Chen, S.-J., H.-H. Mei, and W.-T. Ni, 2007, Mod. Phys. Lett. A 22, 2815.
  78. Cheng, H.-Y., 1988, Phys. Rep. 158, 1.
  79. Cheung, C., A. L. Fitzpatrick, and L. Randall, 2008, J. High Energy Phys. 01, 069.
  80. Cho, H. Y., 2008, J. High Energy Phys. 07, 069.
  81. Choi, K., 1992, Nucl. Phys. B 383, 58.
  82. Choi, K., 1997, Phys. Rev. D 56, 6588.
  83. Choi, K., 2000, Phys. Rev. D 62, 043509.
  84. Choi, K., 2004, Phys. Rev. Lett. 92, 101602.
  85. Choi, K., and K. S. Jeong, 2007, J. High Energy Phys. 01, 103.
  86. Choi, K., K. S. Jeong, and K. Okumura, 2005, J. High Energy Phys. 0509, 039.
  87. Choi, K., K. Kang, and J. E. Kim, 1989, Phys. Rev. Lett. 62, 849.
  88. Choi, K., C. W. Kim, and W. K. Sze, 1988, Phys. Rev. Lett. 61, 794.
  89. Choi, K., and H. D. Kim, 2000, Phys. Rev. D 61, 015010.
  90. Choi, K., and J. E. Kim, 1985a, Phys. Lett. B 154, 393.
  91. Choi, K., and J. E. Kim, 1985b, Phys. Lett. B 165, 71.
  92. Choi, K., and J. E. Kim, 1985c, Phys. Rev. D 32, 1828.
  93. Choi, K., and J. E. Kim, 1985d, Phys. Rev. Lett. 55, 2637.
  94. Choi, K., J. E. Kim, and H. P. Nilles, 2007, private communication.
  95. Choi, K.-S., I.-W. Kim, and J. E. Kim, 2007, J. High Energy Phys. 03, 116.
  96. Choi, K.-S., and J. E. Kim, 2006, Quarks and Leptons from Orbifolded Superstring, Lecture Notes in Physics Vol. 696 (Springer-Verlag, Berlin).
  97. Choi, K.-S., and T. Kobayashi, 2008, Nucl. Phys. B 797, 295.
  98. Choi, K.-Y., J. E. Kim, H. M. Lee, and O. Seto, 2008, Phys. Rev. D 77, 123501.
  99. Choi, K. Y., and L. Roszkowski, 2006, in Particles, Strings, and Cosmology, edited by K. Choi, J. E. Kim, and D. Son, AIP Conf. Proc. No. 805 (AIP, Melville, NY), p. 30.
  100. Choi, K.-Y., L. Roszkowski, and R. Ruiz de Austri, 2008, J. High Energy Phys. 0804, 016.
  101. Chou, A. S., et al. (GammeV Collaboration), 2008, Phys. Rev. Lett. 100, 080402.
  102. Chun, E. J., H. B. Kim, and J. E. Kim, 1994, Phys. Rev. Lett. 72, 1956.
  103. Chun, E. J., J. E. Kim, and H. P. Nilles, 1992a, Phys. Lett. B 287, 123.
  104. Chun, E. J., J. E. Kim, and H. P. Nilles, 1992b, Nucl. Phys. B 370, 105.
  105. Chun, E. J., and A. Lukas, 1995, Phys. Lett. B 357, 43.
  106. Chung, D. J. H., E. W. Kolb, and A. Riotto, 1999, Phys. Rev. D 60, 063504.
  107. Clowe, D., et al. (Chandra Collaboration), 2006, Astrophys. J. 648, L109.
  108. Cohen, A. G., T. S. Roy, and M. Schmaltz, 2007, J. High Energy Phys. 02, 027.
  109. Conlon, J. P., 2006, J. High Energy Phys. 05, 078.
  110. Covi, L., H. B. Kim, J. E. Kim, and L. Roszkowski, 2001, J. High Energy Phys. 05, 033.
  111. Covi, L., J. E. Kim, and L. Roszkowski, 1999, Phys. Rev. Lett. 82, 4180.
  112. Covi, L., L. Roszkowski, R. Ruiz de Austri, and M. Small, 2004, J. High Energy Phys. 06, 003.
  113. Covi, L., L. Roszkowski, and M. Small, 2002, J. High Energy Phys. 07, 023.
  114. Cowsik, R., and J. McClelland, 1972, Phys. Rev. Lett. 29, 669.
  115. Cremmer, E., S. Ferrara, L. Girardello, and A. van Pröyen, 1983, Nucl. Phys. B 212, 413.
  116. Crewther, R. J., P. Di Vecchia, G. Veneziano, and E. Witten, 1979, Phys. Lett. B 88, 123; 91, 487(E) (1980).
  117. Cyburt, R. H., J. R. Ellis, B. D. Fields, and K. A. Olive, 2003, Phys. Rev. D 67, 103521.
  118. Dabholkar, A., and J. M. Quashnock, 1990, in Cosmic Axions, edited by C. Jones and A. C. Melissinos (World Scientific, Singapore), p. 286.
  119. Dar, S., 2000, e-print arXiv:hep-ph/0008248.
  120. Dasgupta, K., H. Firouzjahi, and R. Gwyn, 2008, J. High Energy Phys. 06, 056.
  121. Dashen, R. F., 1971, Phys. Rev. D 3, 1879.
  122. Davis, R., 1985, Phys. Rev. D 32, 3172.
  123. Davoudiasl, H., and P. Huber, 2006, Phys. Rev. Lett. 97, 141302.
  124. Daw, E., and R. F. Bradley, 1997, J. Appl. Phys. 82, 1925.
  125. Dearborn, D. S. P., D. N. Schramm, and G. Steigman, 1986, Phys. Rev. Lett. 56, 26.
  126. Degl’Innocenti, S., W. A. Dziembowski, G. Fiorentini, and B. Ricci, 1997, Astropart. Phys. 7, 77.
  127. DePanfilis, S., et al., 1987, Phys. Rev. Lett. 59, 839.
  128. Derendinger, J.-P., L. Ibanez, and H. P. Nilles, 1985, Phys. Lett. 155B, 65.
  129. Dicke, R. H., 1946, Rev. Sci. Instrum. 17, 268.
  130. Dicus, D. A., E. W. Kolb, V. L. Teplitz, and R. W. Wagoner, 1978, Phys. Rev. D 18, 1829.
  131. Dicus, D. A., E. W. Kolb, V. L. Teplitz, and R. W. Wagoner, 1980, Phys. Rev. D 22, 839.
  132. Di Lella, L., A. Pilaftsis, G. Raffelt, and K. Zioutas, 2000, Phys. Rev. D 62, 125011.
  133. Dimopoulos, S., and S. Raby, 1981, Nucl. Phys. B 192, 353.
  134. Dine, M., and W. Fischler, 1983, Phys. Lett. B 120, 137.
  135. Dine, M., W. Fischler, and M. Srednicki, 1981a, Nucl. Phys. B 189, 575.
  136. Dine, M., W. Fischler, and M. Srednicki, 1981b, Phys. Lett. B 104, 199.
  137. Dine, M., I. Ichinose, and N. Seiberg, 1987, Nucl. Phys. B 293, 253.
  138. Dine, M., and D. A. MacIntire, 1992, Phys. Rev. D 46, 2594.
  139. Dine, M., and A. E. Nelson, 1993, Phys. Rev. D 48, 1277.
  140. Dine, M., A. E. Nelson, and Y. Shirman, 1995, Phys. Rev. D 51, 1362.
  141. Dine, M., R. Rohm, N. Seiberg, and E. Witten, 1985, Phys. Lett. B 156, 55.
  142. Dine, M., N. Seiberg, X. G. Wen, and E. Witten, 1986, Nucl. Phys. B 278, 769.
  143. Dine, M., N. Seiberg, X. G. Wen, and E. Witten, 1987, Nucl. Phys. B 289, 319.
  144. Dine, M., N. Seiberg, and E. Witten, 1987, Nucl. Phys. B 289, 589.
  145. Di Vecchia, P., F. Nocodemi, R. Pettorino, and G. Veneziano, 1981, Nucl. Phys. B 181, 318.
  146. Di Vecchia, P., and G. Veneziano, 1980, Nucl. Phys. B 171, 253.
  147. Dobrescu, B. A., 1997, Phys. Rev. D 55, 5826.
  148. Donnelly, T. W., S. J. Freedman, R. S. Lytel, R. D. Peccei, and M. Schwartz, 1978, Phys. Rev. D 18, 1607.
  149. Drees, M., and M. M. Nojiri, 1993, Phys. Rev. D 47, 376.
  150. Duffy, L., et al., 2006, Phys. Rev. D 74, 012006.
  151. Dunkley, J., et al. (WMAP Collaboration), 2009, Astrophys. J., Suppl. Ser. 180, 306.
  152. Dupays, A., C. Rizzo, M. Roncadelli, and G. F. Bignami, 2005, Phys. Rev. Lett. 95, 211302.
  153. Dvali, G., G. F. Giudice, and A. Pomarol, 1996, Nucl. Phys. B 478, 31.
  154. Ellis, J., and M. K. Gaillard, 1979, Nucl. Phys. B 150, 141.
  155. Ellis, J., J. S. Hagelin, D. V. Nanopoulos, K. A. Olive, and M. Srednicki, 1984, Nucl. Phys. B 238, 453.
  156. Ellis, J., J. E. Kim, and D. V. Nanopoulos, 1984, Phys. Lett. B 145, 181.
  157. Ellis, J., K. A. Olive, Y. Santoso, and V. C. Spanos, 2004, Phys. Lett. B 588, 7.
  158. Everett, L. L., I.-W. Kim, P. Ouyang, and K. M. Zurek, 2008, Phys. Rev. Lett. 101, 101803.
  159. Faleev, S. V., and P. G. Silvestrov, 1996, Nucl. Phys. B 463, 489.
  160. Frère, J. M., and J. M. Gérard, 1983, Nuovo Cimento 37, 135.
  161. Fukugita, M., S. Watamura, and M. Yoshimura, 1982a, Phys. Rev. Lett. 48, 1522.
  162. Fukugita, M., S. Watamura, and M. Yoshimura, 1982b, Phys. Rev. D 26, 1840.
  163. Gabbiani, F., E. Gabrielli, A. Masiero, and L. Silvestrini, 1996, Nucl. Phys. B 477, 321.
  164. Gasser, J., and H. Leutwyler, 1982, Phys. Rep. 87, 77.
  165. Gates, E. I., G. Gyuk, and M. S. Turner, 1995, Astrophys. J. 449, L123.
  166. Gell-Mann, M., R. J. Oakes, and B. Renner, 1968, Phys. Rev. 175, 2195.
  167. Georgi, H., 1978, Hadronic J. 1, 155.
  168. Georgi, H., 1984, Weak Interactions and Modern Particle Theory (Benjaminn Cummings, Menlo Park, CA).
  169. Georgi, H., D. B. Kaplan, and L. Randall, 1986, Phys. Lett. B 169, 73.
  170. Georgi, H., and L. Randall, 1986, Nucl. Phys. B 276, 241.
  171. Georgi, H., T. Tomaras, and A. Pais, 1981, Phys. Rev. D 23, 469.
  172. Ghigna, S., S. M. Lusignoli, and M. Roncadelli, 1992, Phys. Lett. B 283, 278.
  173. Giddings, S. B., S. Kachru, and J. Polchinski, 2002, Phys. Rev. D 66, 106006.
  174. Giddings, S. B., and A. Strominger, 1988, Nucl. Phys. B 307, 854.
  175. Gies, H., J. Jaeckel, and A. Ringwald, 2006, Phys. Rev. Lett. 97, 140402.
  176. Gilbert, G., 1989, Nucl. Phys. B 328, 159.
  177. Giudice, G. F., H. D. Kim, and R. Rattazzi, 2008, Phys. Lett. B 660, 545.
  178. Giudice, G. F., M. A. Luty, H. Murayama, and R. Rattazzi, 1998, J. High Energy Phys. 12, 027.
  179. Giudice, G., and A. Masiero, 1988, Phys. Lett. B 206, 480.
  180. Goffin, V., G. Segrè, and H. A. Welson, 1980, Phys. Rev. D 21, 1410.
  181. Goldberg, H., 1983, Phys. Rev. Lett. 50, 1419; 103, 099905(E) 2009.
  182. Goldstone, J., 1961, Nuovo Cimento 19, 154.
  183. Green, M., and J. Schwarz, 1984, Phys. Lett. B 149, 117.
  184. Green, M., J. Schwarz, and E. Witten, 1987, Superstring Theory (Cambridge University Press, Cambridge).
  185. Groote, S., J. G. Körner, K. Schilcher, and N. F. Nasrallah, 1998, Phys. Lett. B 440, 375.
  186. Gross, D., R. Pisarski, and L. Yaffe, 1981, Rev. Mod. Phys. 53, 43.
  187. Hagmann, C., et al., 1990, Phys. Rev. D 42, 1297.
  188. Hall, L., and L. Randall, 1991, Nucl. Phys. B 352, 289.
  189. Han, M. Y., and Y. Nambu, 1965, Phys. Rev. 139, B1006.
  190. Hannestad, S., A. Mirizzi, G. G. Raffelt, and Y. Y. Y. Wong, 2007, J. Cosmol. Astropart. Phys. 08, 015.
  191. Hannestad, S., A. Mirizzi, G. G. Raffelt, and Y. Y. Y. Wong, 2008, J. Cosmol. Astropart. Phys. 04, 019.
  192. Hannestad, S., and G. G. Raffelt, 2002, Phys. Rev. Lett. 88, 071301.
  193. Harari, D., and P. Sikivie, 1987, Phys. Lett. B 195, 361.
  194. Hatsuda, T., and M. Yoshimura, 1988, Phys. Lett. B 203, 469.
  195. He, X.-G., 2008, Int. J. Mod. Phys. A 23, 3282.
  196. Hertzberg, M. P., M. Tegmark, and F. Wilczek, 2008, Phys. Rev. D 78, 083507.
  197. Hinchliffe, I., 2008, in Particle Data Book (Amsler et al., 2008).
  198. Hindmarsh, M., and P. Moulatsiotis, 1997, Phys. Rev. D 56, 8074.
  199. Holman, R., S. D. H. Hsu, T. W. Kephart, E. W. Kolb, R. Watkins, and L. M. Widrow, 1992, Phys. Lett. B 282, 132.
  200. Hong, D. K., 1998, Phys. Lett. B 445, 36.
  201. Hong, D. K., H.-C. Kim, S. Siwach, and H. U. Yee, 2007, J. High Energy Phys. 11, 036.
  202. Huang, Z., 1993, Phys. Rev. D 48, 270.
  203. Huh, J.-H., J. E. Kim, and B. Kyae, 2009, Phys. Rev. D 79, 063529.
  204. Imai, K., 2008, Talk presented at PANIC 2008, Eilat, Israel, Nov. 2008.
  205. Inoue, Y., Y. Akimoto, R. Ohta, T. Mizumoto, A. Yamamoto, and M. Minowa, 2008, Phys. Lett. B 668, 93.
  206. Inoue, Y., T. Namba, S. Moriyama, M. Minowa, Y. Takasu, T. Horiuchi, and A. Yamamoto, 2002, Phys. Lett. B 536, 18.
  207. Intrilligator, K. A., N. Seiberg, and D. Shih, 2006, J. High Energy Phys. 04, 021.
  208. Isern, J., E. García-Berro, S. Torres, and S. Catalán, 2008, Astrophys. J. 682, L109.
  209. Iwamoto, N., 1984, Phys. Rev. Lett. 53, 1198.
  210. Jackiw, R., and C. Rebbi, 1976, Phys. Rev. Lett. 37, 172.
  211. Jee, M. J., et al., 2007, Astrophys. J. 661, 728.
  212. Jungman, G., M. Kamionkowski, and K. Griest, 1996, Phys. Rep. 267, 195.
  213. Kachru, S., R. Kallosh, A. D. Linde, and S. P. Trivedi, 2003, Phys. Rev. D 68, 046005.
  214. Kamionkowski, M., and J. March-Russell, 1992, Phys. Lett. B 282, 137.
  215. Kanaya, K., and M. Kobayashi, 1981, Prog. Theor. Phys. 66, 2173.
  216. Kang, K., and A. Pantziris, 1991, Phys. Rev. D 43, 241.
  217. Kanti, P., 2009, in Physics of Black Holes, edited by E. Papantonopoulos, Lecture Notes in Physics Vol. 769 (Springer, Heidelberg), p. 387.
  218. Kaplan, D. B., 1985, Nucl. Phys. B 260, 215.
  219. Kaplan, D. B., and A. V. Manohar, 1986, Phys. Rev. Lett. 56, 2004.
  220. Kawasaki, M., K. Kohri, and T. Moroi, 2005, Phys. Rev. D 71, 083502.
  221. Kawasaki, M., K. Kohri, T. Moroi, and A. Yotsuyanagi, 2008, Phys. Rev. D 78, 065011.
  222. Kawasaki, M., and K. Nakayama, 2008, Phys. Rev. D 77, 123524.
  223. Kawasaki, M., K. Nakayama, and M. Senami, 2008, J. Cosmol. Astropart. Phys. 03, 009.
  224. Khlopov, M., and A. D. Linde, 1984, Phys. Lett. 138, 265.
  225. Kim, H. B., and J. E. Kim, 1995, Nucl. Phys. B 433, 421.
  226. Kim, H. B., and J. E. Kim, 2002, Phys. Lett. B 527, 18.
  227. Kim, I.-W., and J. E. Kim, 2006, Phys. Lett. B 639, 342.
  228. Kim, J. E., 1979, Phys. Rev. Lett. 43, 103.
  229. Kim, J. E., 1984, Phys. Lett. B 136, 378.
  230. Kim, J. E., 1985, Phys. Rev. D 31, 1733.
  231. Kim, J. E., 1987, Phys. Rep. 150, 1.
  232. Kim, J. E., 1988, Phys. Lett. B 207, 434.
  233. Kim, J. E., 1991, Phys. Rev. Lett. 67, 3465.
  234. Kim, J. E., 1998, Phys. Rev. D 58, 055006.
  235. Kim, J. E., 1999a, Phys. Lett. B 452, 255.
  236. Kim, J. E., 1999b, J. High Energy Phys. 05, 022.
  237. Kim, J. E., 2000, J. High Energy Phys. 06, 016.
  238. Kim, J. E., 2007a, Phys. Lett. B 651, 407.
  239. Kim, J. E., 2007b, Phys. Lett. B 656, 207.
  240. Kim, J. E., 2007c, Phys. Rev. D 76, 051701.
  241. Kim, J. E., J.-H. Kim, and B. Kyae, 2007, J. High Energy Phys. 06, 034.
  242. Kim, J. E., and B. Kyae, 2007, Nucl. Phys. B 770, 47.
  243. Kim, J. E., and U. Lee, 1989, Phys. Lett. B 233, 496.
  244. Kim, J. E., A. Masiero, and D. V. Nanopoulos, 1984, Phys. Lett. B 139, 346.
  245. Kim, J. E., and H. P. Nilles, 1984, Phys. Lett. B 138, 150.
  246. Kim, J. E., and H. P. Nilles, 1994, Mod. Phys. Lett. A 9, 3575.
  247. Kim, J. E., and H. P. Nilles, 2003, Phys. Lett. B 553, 1.
  248. Kim, J. E., and H. P. Nilles, 2009, J. Cosmol. Astropart. Phys. 05, 010.
  249. Kobayashi, M., and T. Maskawa, 1973, Prog. Theor. Phys. 49, 652.
  250. Kolb, E. W., and M. S. Turner, 1990, The Early Universe (Addison-Wesley, Reading, MA).
  251. Komatsu, E., et al. (WMAP Collaboration), 2009, Astrophys. J., Suppl. Ser. 180, 330.
  252. Krauss, L. M., 1983, Nucl. Phys. B 227, 556.
  253. Krauss, L. M., J. E. Moody, and F. Wilczek, 1984, Phys. Lett. B 144, 391.
  254. Krauss, L. M., and F. Wilczek, 1986, Phys. Lett. B 173, 189.
  255. Landau, L. D., and E. M. Lifshitz, 1976, Mechanics (Elsevier Butterworth-Heinemann, Amsterdam), Sec. 49.
  256. Langacker, P., and H. Pagels, 1973, Phys. Rev. D 8, 4595.
  257. Langacker, P., and H. Pagels, 1979, Phys. Rev. D 19, 2070.
  258. Langacker, P., G. Paz, L.-T. Wang, and I. Yavin, 2008, Phys. Rev. D 77, 085033.
  259. Lazarides, G., C. Panagiotakopoulos, and Q. Shafi, 1986, Phys. Rev. Lett. 56, 432.
  260. Lazarus, D. M., G. C. Smith, R. Cameron, A. C. Melissinos, G. Ruoso, and Y. K. Semertzidis, 1992, Phys. Rev. Lett. 69, 2333.
  261. Lee, B. W., and S. Weinberg, 1977a, Phys. Rev. Lett. 38, 1237.
  262. Lee, B. W., and S. Weinberg, 1977b, Phys. Rev. Lett. 39, 165.
  263. Lee, H. S., et al. (KIMS Collaboration), 2007, Phys. Rev. Lett. 99, 091301.
  264. Lee, K., 1988, Phys. Rev. Lett. 61, 263.
  265. Lee, T. D., 1973, Phys. Rev. D 8, 1226.
  266. Leutwyler, H., 1990, Nucl. Phys. B 337, 108.
  267. Linde, A. D., 1988, Phys. Lett. B 201, 437.
  268. Loaiza-Brito, O., J. Martin, H. P. Nilles, and M. Ratz, 2005, in Particles, Strings, and Cosmology, edited by K. Choi, J. E. Kim, and D. Son, AIP Conf. Proc. No. 805 (AIP, Melville, NY), p. 198.
  269. López-Fogliani, D. E., and C. Muñoz, 2006, Phys. Rev. Lett. 97, 041801.
  270. Luty, M. A., J. Terning, and A. K. Grant, 2001, Phys. Rev. D 63, 075001.
  271. Manohar, A. V., and C. T. Sachrajda, 2008, in Particle Data Book (Amsler et al., 2008).
  272. Marx, G. C., and A. S. Szalay, 1972, in Proceedings of Neutrino-1972, edited by Frankel and G. Marx (OMDK-TECHNIOFORM, Budapest), Vol. I, p. 191.
  273. Masso, E., and J. Redondo, 2006, Phys. Rev. Lett. 97, 151802.
  274. Mayle, R., J. R. Ellis, K. A. Olive, D. N. Schramm, and G. Steigman, 1988, Phys. Lett. B 203, 188.
  275. McGaugh, S. S., et al., 2007, Astrophys. J. 659, 149.
  276. Mohapatra, R. N., and S. Nasri, 2007, Phys. Rev. Lett. 98, 050402.
  277. Mohapatra, R. N., and G. Senjanovic, 1978, Phys. Lett. B 79, 283.
  278. Morales, A., et al., 2002, Astropart. Phys. 16, 325.
  279. Moriyama, S., M. Minowa, T. Namba, Y. Inoue, Y. Takasu, and A. Yamamoto, 1998, Phys. Lett. B 434, 147.
  280. Moroi, T., and H. Murayama, 1998, Phys. Lett. B 440, 69.
  281. Mukhanov, V., 2005, Physical Foundations of Cosmology (Cambridge University Press, Cambridge), p. 147.
  282. Murayama, H., Y. Nomura, and D. Poland, 2008, Phys. Rev. D 77, 015005.
  283. Musakhanov, M. M., and Z. Z. Israilov, 1984, Phys. Lett. B 137, 419.
  284. Nakamura, S., K. Okumura, and M. Yamaguchi, 2008, Phys. Rev. D 77, 115027.
  285. Nambu, Y., 1960, Phys. Rev. 117, 648.
  286. Nambu, Y., and G. Jona-Lasinio, 1961, Phys. Rev. 122, 345.
  287. Nelson, A. E., 1984, Phys. Lett. B 136, 387.
  288. Nelson, D. R., G. T. Flemming, and G. W. Kilcup, 2003, Phys. Rev. Lett. 90, 021601.
  289. Nilles, H. P., 1984, Phys. Rep. 110, 1.
  290. Nilles, H. P., and S. Raby, 1982, Nucl. Phys. B 198, 102.
  291. Ootani, W., et al., 1999, Phys. Lett. B 461, 371.
  292. Pagels, H., and J. R. Primack, 1982, Phys. Rev. Lett. 48, 223.
  293. Pantziris, A., and K. Kang, 1986, Phys. Rev. D 33, 3509.
  294. Paschos, E. A., and K. Zioutas, 1994, Phys. Lett. B 323, 367.
  295. Peccei, R. D., 1979, in Proceedings of the 19th ICHEP, edited by S. Homma (Physical Society of Japan, Tokyo), p. 385.
  296. Peccei, R. D., 1989, in CP Violation, edited by C. Jarlskog [Adv. Ser. Direct. High Energy Phys. (World Scientific Singapore), pp. 503–551].
  297. Peccei, R. D., and H. R. Quinn, 1977a, Phys. Rev. Lett. 38, 1440.
  298. Peccei, R. D., and H. R. Quinn, 1977b, Phys. Rev. D 16, 1791.
  299. Peccei, R. D., T. T. Wu, and T. Yanagida, 1986, Phys. Lett. B 172, 435.
  300. Perlmutter, S., et al. (Supernova Cosmology Project), 1999, Astrophys. J. 517, 565.
  301. Pi, S.-Y., 1984, Phys. Rev. Lett. 52, 1725.
  302. Polchinski, J., 1988, String Theory (Cambridge University Press, Cambridge).
  303. Polchinski, J., 2006, private communication.
  304. Pomarol, A., and R. Rattazzi, 1999, J. High Energy Phys. 05, 013.
  305. Pospelov, M., and A. Ritz, 2005, Ann. Phys. 318, 119.
  306. Preskill, J., M. B. Wise, and F. Wilczek, 1983, Phys. Lett. B 120, 127.
  307. Raffelt, G. G., 1986, Phys. Lett. B 166, 402.
  308. Raffelt, G. G., 1990a, Phys. Rep. 198, 1.
  309. Raffelt, G. G., 1990b, Astrophys. J. 365, 559.
  310. Raffelt, G. G., 1996, Stars for Laboratory for Fundamental Physics (Cambridge University Press, Cambridge).
  311. Raffelt, G. G., 2008a, in Axions, edited by M. Kuster , Lecture Notes in Physics Vol. 741 (Springer, New York), p. 51.
  312. Raffelt, G. G., 2008b, private communication.
  313. Raffelt, G. G., and D. S. P. Dearborn, 1987, Phys. Rev. D 36, 2211.
  314. Raffelt, G., and D. Seckel, 1988, Phys. Rev. Lett. 60, 1793.
  315. Rajagopal, K., M. S. Turner, and F. Wilczek, 1991, Nucl. Phys. B 358, 447.
  316. Randall, L., and Sundrum, 1999a, Nucl. Phys. B 557, 79.
  317. Randall, L., and Sundrum, 1999b, Phys. Rev. Lett. 83, 3370.
  318. Rattazzi, R., A. Strumia, and J. D. Wells, 2000, Nucl. Phys. B 576, 3.
  319. Riess, A. G., et al., 1998, Astron. J. 116, 1009.
  320. Ringwald, A., 2008, organized the 4th Petras Workshop, DESY, June 2008 (http/www.desy.de/ringwald).
  321. Robilliard, C., et al. (BMV Collaboration), 2007, Phys. Rev. Lett. 99, 190403.
  322. Rosenberg, L. J., 2004, in Intersections of Particle and Nuclear Physics, edited by Z. Parsa, AIP Conf. Proc. No. 698 (AIP, Melville, NY), p. 332.
  323. Roszkowski, L., 2004, in Proceedings of PASCOS-2003, edited by D. P. Roy and K. Sridha (Indian Academy of Sciences, Bangalore), p. 389.
  324. Roszkowski, L., R. Ruiz de Austri, and K.-Y. Choi, 2005, J. High Energy Phys. 08, 080.
  325. Roszkowski, L., and O. Seto, 2007, Phys. Rev. Lett. 98, 161304.
  326. Roy, T. S., and M. Schmaltz, 2008, Phys. Rev. D 77, 095008.
  327. Sato, K., 1978, Prog. Theor. Phys. 60, 1942.
  328. Sato, K., and H. Sato, 1975, Prog. Theor. Phys. 54, 1564.
  329. Schlattl, H., A. Weiss, and G. Raffelt, 1999, Astropart. Phys. B10, 353.
  330. Schnitzer, H. J., 1984, Phys. Lett. B 139, 217.
  331. Seckel, D., and M. S. Turner, 1985, Phys. Rev. D 32, 3178.
  332. Segrè, G., and A. Weldon, 1979, Phys. Rev. Lett. 42, 1191.
  333. Semertzidis, Y., et al. (RBFT Collaboration), 1990, Phys. Rev. Lett. 64, 2988.
  334. Seto, O., and M. Yamaguchi, 2007, Phys. Rev. D 75, 123506.
  335. Shifman, M. A., V. I. Vainstein, and V. I. Zakharov, 1980, Nucl. Phys. B 166, 493.
  336. Sikivie, P., 1982, Phys. Rev. Lett. 48, 1156.
  337. Sikivie, P., 1983, Phys. Rev. Lett. 51, 1415.
  338. Sikivie, P., 1985, Phys. Rev. D 32, 2988.
  339. Sikivie, P., 2003, Phys. Lett. B 567, 1.
  340. Sikivie, P., 2008, in Axions, edited by M. Kuster , Lecture Notes in Physics Vol. 741 (Springer, New York), p. 19.
  341. Sikivie, P., D. Tanner, and K. van Bibber, 2007, Phys. Rev. Lett. 98, 172002.
  342. Silk, J., 1968, Astrophys. J. 151, 459.
  343. Smith, S., 1936, Astrophys. J. 83, 23.
  344. Spergel, D. N., et al. (WMAP Collaboration), 2007, Astrophys. J., Suppl. Ser. 170, 377.
  345. Srednicki, M., 1985, Nucl. Phys. B 260, 689.
  346. Steinhardt, P., and M. S. Turner, 1983, Phys. Lett. B 129, 51.
  347. Svrcek, B., and E. Witten, 2006, J. High Energy Phys. 06, 051.
  348. Tada, M., et al. (CARRACK Collaboration), 2006, Phys. Lett. A 349, 488.
  349. Tegmark, M., A. Aguirre, M. Rees, and F. Wilczek, 2006, Phys. Rev. D 73, 023505.
  350. ’t Hooft, G., 1976, Phys. Rev. D 14, 3432.
  351. ’t Hooft, G., 1979, in Recent Developments in Gauge Theories, edited by G. ’t Hooft (Plenum, New York), p. 135.
  352. ’t Hooft, G., 1986, Phys. Rep. 142, 357.
  353. Turner, M. S., 1986, Phys. Rev. D 33, 889.
  354. Turner, M. S., 1988, Phys. Rev. Lett. 60, 1797.
  355. Turner, M. S., 1990, Phys. Rep. 197, 67.
  356. Turner, M. S., H. Kang, and G. Steigman, 1989, Phys. Rev. D 40, 299.
  357. Vafa, V., and E. Witten, 1984, Phys. Rev. Lett. 53, 535.
  358. van Bibber, K., 2008, talk presented at IDM08, Stockholm, Sweden, Aug. 2008.
  359. van Bibber, K., N. R. Dagedeviren, S. E. Koonin, A. K. Kerman, and H. N. Nelson, 1987, Phys. Rev. Lett. 59, 759.
  360. van Bibber, K., P. M. McIntyre, D. E. Morris, and G. G. Raffelt, 1989, Phys. Rev. D 39, 2089.
  361. Veneziano, G., 1979, Nucl. Phys. B 159, 213b.
  362. Weinberg, S., 1975, Phys. Rev. D 11, 3583.
  363. Weinberg, S., 1976, Phys. Rev. Lett. 37, 657.
  364. Weinberg, S., 1977, Festschrift for I. I. Rabi, Trans. of New York Academy of Sciences, 38, 185.
  365. Weinberg, S., 1978, Phys. Rev. Lett. 40, 223.
  366. Weinberg, S., 1982, Phys. Rev. Lett. 48, 1303.
  367. Weinberg, S., 1987, Phys. Rev. Lett. 59, 2607.
  368. Weinberg, S., 2008, Cosmology (Oxford University Press, New York).
  369. Wen, X. G., and E. Witten, 1986, Phys. Lett. B 166, 397.
  370. Wetterich, C., 1988, Nucl. Phys. B 302, 645.
  371. Wilczek, F., 1978, Phys. Rev. Lett. 40, 279.
  372. Wise, M. B., H. Georgi, and S. L. Glashow, 1981, Phys. Rev. Lett. 47, 402.
  373. Witten, F., 1979, Nucl. Phys. B 156, 269.
  374. Witten, E., 1980, Ann. Phys. 128, 363.
  375. Witten, E., 1984, Phys. Lett. B 149, 351.
  376. Witten, E., 1985a, Phys. Lett. B 153, 243.
  377. Witten, E., 1985b, Phys. Lett. B 155, 151.
  378. Woltjer, C., 1964, Astrophys. J. 140, 1309.
  379. Yoo, J. (GammeV Collaboration), 2008, in Dark 2007, edited by H. K. Klapdor-Kleingrothaus, and G. F. Lewis (World Scientific, Singapore), p. 536.
  380. Zavattini, E., et al. (PVLAS Collaboration), 2006, Phys. Rev. Lett. 96, 110406.
  381. Zavattini, E., et al. (PVLAS Collaboration), 2007, Phys. Rev. Lett. 99, 129901(E).
  382. Zavattini, E., et al. (PVLAS Collaboration), 2008, Phys. Rev. D 77, 032006.
  383. Zhitnitskii, A. P., 1981, Sov. J. Nucl. Phys. 31, 260.
  384. Zioutas, K., et al. (CAST Collaboration), 2005, Phys. Rev. Lett. 94, 121301.
  385. Zwicky, F., 1933, Helv. Phys. Acta 6, 110.

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