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Chiral properties of strong interactions in a magnetic background

Massimo D’Elia and Francesco Negro

  • Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146 Genova, Italy and INFN, Sezione di Genova, Via Dodecaneso 33, 16146 Genova, Italy

Phys. Rev. D 83, 114028 – Published 14 June, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.114028

Abstract

We investigate the chiral properties of QCD in the presence of a magnetic background field and in the low temperature regime, by lattice numerical simulations of Nf=2 QCD. We adopt a standard staggered discretization, with a pion mass around 200 MeV, and explore a range of magnetic fields (180MeV)2|e|B(700MeV)2, in which we study magnetic catalysis, i.e. the increase of chiral symmetry breaking induced by the background field. We determine the dependence of the chiral condensate on the external field, compare our results with existing model predictions and show that a substantial contribution to magnetic catalysis comes from the modified distribution of non-Abelian gauge fields, induced by the magnetic field via dynamical quark loop effects.

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References (62)

  1. T. Vachaspati, Phys. Lett. B 265, 258 (1991).
  2. D. E. Kharzeev, L. D. McLerran, and H. J. Warringa, Nucl. Phys. A803, 227 (2008).
  3. V. Skokov, A. Y. Illarionov, and V. Toneev, Int. J. Mod. Phys. A 24, 5925 (2009).
  4. D. E. Kharzeev, L. D. McLerran, and H. J. Warringa, Nucl. Phys. A803, 227 (2008).
  5. K. Fukushima, D. E. Kharzeev, and H. J. Warringa, Phys. Rev. D 78, 074033 (2008).
  6. B. I. Abelev et al. (STAR Collaboration), Phys. Rev. Lett. 103, 251601 (2009).
  7. R. C. Duncan and C. Thompson, Astrophys. J. 392, L9 (1992).
  8. S. Mereghetti, Astron. Astrophys. Rev. 15, 225 (2008).
  9. A. Salam and J. A. Strathdee, Nucl. Phys. B90, 203 (1975).
  10. A. D. Linde, Phys. Lett. 62B, 435 (1976).
  11. S. Kawati, G. Konisi, and H. Miyata, Phys. Rev. D 28, 1537 (1983).
  12. S. P. Klevansky and R. H. Lemmer, Phys. Rev. D 39, 3478 (1989).
  13. H. Suganuma and T. Tatsumi, Ann. Phys. (N.Y.) 208, 470 (1991).
  14. K. G. Klimenko, Z. Phys. C 54, 323 (1992).
  15. S. Schramm, B. Muller, and A. J. Schramm, Mod. Phys. Lett. A 7, 973 (1992).
  16. K. G. Klimenko, B. V. Magnitsky, and A. S. Vshivtsev, Nuovo Cimento Soc. Ital. Fis. A 107, 439 (1994).
  17. V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Phys. Rev. Lett. 73, 3499 (1994); 76, 1005(E) (1996).
  18. V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Phys. Lett. B 349, 477 (1995).
  19. I. A. Shushpanov and A. V. Smilga, Phys. Lett. B 402, 351 (1997).
  20. A. Y. Babansky, E. V. Gorbar, and G. V. Shchepanyuk, Phys. Lett. B 419, 272 (1998).
  21. D. Ebert, K. G. Klimenko, M. A. Vdovichenko, and A. S. Vshivtsev, Phys. Rev. D 61, 025005 (1999).
  22. A. Goyal and M. Dahiya, Phys. Rev. D 62, 025022 (2000).
  23. N. O. Agasian and I. A. Shushpanov, Phys. Lett. B 472, 143 (2000).
  24. D. Ebert, V. V. Khudyakov, V. C. Zhukovsky, and K. G. Klimenko, Phys. Rev. D 65, 054024 (2002).
  25. D. N. Kabat, K.-M. Lee, and E. J. Weinberg, Phys. Rev. D 66, 014004 (2002).
  26. V. A. Miransky and I. A. Shovkovy, Phys. Rev. D 66, 045006 (2002).
  27. T. D. Cohen, D. A. McGady, and E. S. Werbos, Phys. Rev. C 76, 055201 (2007).
  28. C. V. Johnson and A. Kundu, J. High Energy Phys. 12 (2008) 053.
  29. E. Rojas, A. Ayala, A. Bashir, and A. Raya, Phys. Rev. D 77, 093004 (2008).
  30. O. Bergman, G. Lifschytz, and M. Lippert, Phys. Rev. D 79, 105024 (2009).
  31. A. V. Zayakin, J. High Energy Phys. 07 (2008) 116.
  32. N. Evans, T. Kalaydzhyan, K. y. Kim, and I. Kirsch, J. High Energy Phys. 01 (2011) 050.
  33. A. J. Mizher, E. S. Fraga, and M. N. Chernodub, arXiv:1103.0954.
  34. S.-i. Nam and C.-W. Kao, arXiv:1103.6057.
  35. N. O. Agasian and S. M. Fedorov, Phys. Lett. B 663, 445 (2008).
  36. E. S. Fraga and A. J. Mizher, Phys. Rev. D 78, 025016 (2008).
  37. D. P. Menezes, M. Benghi Pinto, S. S. Avancini, A. Perez Martinez, and C. Providencia, Phys. Rev. C 79, 035807 (2009).
  38. A. Ayala, A. Bashir, A. Raya, and A. Sanchez, Phys. Rev. D 80, 036005 (2009).
  39. J. K. Boomsma and D. Boer, Phys. Rev. D 81, 074005 (2010).
  40. K. Fukushima, M. Ruggieri, and R. Gatto, arXiv:1003.0047.
  41. A. J. Mizher, M. N. Chernodub, and E. S. Fraga, Phys. Rev. D 82, 105016 (2010).
  42. M. D’Elia, S. Mukherjee, and F. Sanfilippo, Phys. Rev. D 82, 051501 (2010).
  43. R. Gatto and M. Ruggieri, Phys. Rev. D 82, 054027 (2010).
  44. I. E. Frolov, V. C. Zhukovsky, and K. G. Klimenko, Phys. Rev. D 82, 076002 (2010).
  45. S. Fayazbakhsh and N. Sadooghi, Phys. Rev. D 83, 025026 (2011).
  46. R. Gatto and M. Ruggieri, Phys. Rev. D 83, 034016 (2011).
  47. F. Preis, A. Rebhan, and A. Schmitt, arXiv:1012.4785.
  48. P. Cea and L. Cosmai, J. High Energy Phys. 08 (2005) 079.
  49. P. Cea, L. Cosmai, and M. D’Elia, J. High Energy Phys. 12 (2007) 097.
  50. M. N. Chernodub, Phys. Rev. D 82, 085011 (2010).
  51. M. N. Chernodub, arXiv:1101.0117.
  52. N. Callebaut, D. Dudal, and H. Verschelde, arXiv:1102.3103.
  53. P. V. Buividovich, M. N. Chernodub, E. V. Luschevskaya, and M. I. Polikarpov, Phys. Lett. B 682, 484 (2010); Nucl. Phys. B826, 313 (2010).
  54. V. V. Braguta, P. V. Buividovich, T. Kalaydzhyan, S. V. Kuznetsov, and M. I. Polikarpov, Proc. Sci., LATTICE2010 (2010) 190 [arXiv:1011.3795].
  55. T. Banks and A. Casher, Nucl. Phys. B169, 103 (1980).
  56. M. H. Al-Hashimi and U. J. Wiese, Ann. Phys. (N.Y.) 324, 343 (2009).
  57. S. Ejiri et al., Phys. Rev. D 80, 094505 (2009).
  58. D. J. Wallace and R. K. P. Zia, Phys. Rev. B 12, 5340 (1975).
  59. P. Hasenfratz and H. Leutwyler, Nucl. Phys. B343, 241 (1990).
  60. A. V. Smilga, Phys. Lett. B 318, 531 (1993); A. V. Smilga and J. J. M. Verbaarschot, Phys. Rev. D 54, 1087 (1996).
  61. N. O. Agasian and I. A. Shushpanov, J. High Energy Phys. 10 (2001) 006.
  62. J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984); Nucl. Phys. B250, 465 (1985).

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