- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Reviews of Modern Physics

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Theorems on High Energy Collisions of Elementary Particles

R. J. EDEN

R. J. EDEN

  • Cavendish Laboratory, Cambridge, England

PDF

Rev. Mod. Phys. 43, 15 – Published 1 January, 1971

DOI: https://doi.org/10.1103/RevModPhys.43.15

Abstract

This review gives a survey of the following topics: (i) results on analyticity and asymptotic growth that follow from axiomatic quantum field theory, (ii) bounds and inequalities involving cross sections at high energies, (iii) theorems and relations between cross sections requiring special assumptions, and (iv) a discussion of the Pomeranchuk theorem and of experimental and theoretical results that would hold if it were violated.

View figure in article

References (131)

  1. Allaby, J. V., et al., 1969, Physics Letters 30B, 500
  2. Araki, H., 1961-1962, Einführung in die Axiomatische Quantenfeldtheorie (Mimeographed lecture notes in E.T.H., Zurich)
  3. Araki, H., 1968, Varenna lectures (to be published)
  4. Arnowitt, R., and P. Rotelli, 1970, Imperial College, London, Preprint ICTP/69/14
  5. Ascoli, R., and A. Minguzzi, 1960, Phys. Rev. 118, 1435
  6. Ball, J., and F. Zachariasen, 1969, Phys. Rev. Letters 23, 346
  7. Barger, V., and R. J. N. Phillips, 1970, Phys. Rev. Letters 24, 291
  8. Bell, J. S., 1968, CERN Report TH-971
  9. Bessis, J. D., 1966, Nuovo Cimento 45, 974
  10. Bessis, J. D., and V. Glaser, 1967, Nuovo Cimento 50, 568
  11. Boas, R. P., 1954, Entire Functions (Academic, New York)
  12. Bogoliubov, N. N., N. N. Bogoliubov and D. V. Shirkoff1957, unpublished proof of dispersion relations : Introduction to Quantum Field Theory (Moscow, 1957; New York, 1959)
  13. Bogoliubov, N. N.N. N. BogoliubovD. V. Shirkoff, B. V. Medvedev, and K. Polivanov, 1958, Voprossy Teorii Dispersionnykh Sootnoshenii (Moscow)
  14. Bonnier, R., and R. Vinh Mau, 1967, Phys. Rev. 165, 1923
  15. Borchers, H. J., 1967, article in Applications of Mathematics to Problems in Theoretical Physics, edited by F. Lurcat (Gordon and Breach, New York)
  16. Bremermann, H. J., R. Oehme, and J. G. Taylor, 1958, Phys. Rev. 109, 2178
  17. Bros, J., H. Epstein, and V. Glaser, 1965, Commun. Math. Phys. 1, 240
  18. Bros, J.H. EpsteinV. Glaser, H. Epstein, and V. Glaser, 1964, Nuovo Cimento 31, 1265
  19. Casella, R. C., 1970, Phys. Rev. Letters 24, 463
  20. Cerulus, F., and A. Martin, 1963, Physics Letters 8, 80
  21. Chew, G. F., 1969, (private communication)
  22. Chiu, C. B., R. J. Eden, M. B. Green, and F. Guerin, 1969, Phys. Rev. 182, 1669
  23. Cohen-Tannoudji, M., A. Morel, and H. Navelet, 1968, Ann. Phys. (N.Y.) 46, 239
  24. Common, A. K., 1969, Nuovo Cimento 63, 451
  25. Common, A. K., 1970, CERN Preprint TH. 1145
  26. Common, A. K., and F. J. Yndurain, 1970, Nucl. Phys. (to be published)
  27. Cornille, H., 1964, Nuovo Cimento 31, 1101
  28. Cornille, H., 1970a, Sacklay Preprint D.Ph. T/69/69 (Nuovo Cimento, to be published)
  29. Cornille, H., 1970b, Orsay Preprint IPNO/TH 173
  30. Eden, R. J., 1952, Proc. Roy. Soc. (London) A210, 388
  31. Eden, R. J., 1966a, in Particle Interactions at High Energy, edited by T. Priest and L. Vick (Oliver and Boyd, Edinburgh, England)
  32. Eden, R. J., 1966b, Phys. Rev. Letters 16, 39
  33. Eden, R. J., 1967, High Energy Collisions of Elementary Particles (Cambridge U. P., London)
  34. Eden, R. J., 1970, Phys. Rev. D 1, 529
  35. Eden, R. J., and G. D. Kaiser, 1970a, 1970b, Cavandish Laboratory, Cambridge, Preprints
  36. Eden, R. J.G. D. Kaiser, P. V. Landshoff, D. I. Olive, and J. C. Polkinghorne, 1966, The Analytic S Matrix (Cambridge U. P., London)
  37. Eden, R. J.G. D. KaiserP. V. LandshoffD. I. OliveJ. C. Polkinghorne, and L. Łukaszuk, 1967, Nuovo Cimento 47, 817
  38. Eden, R. J.G. D. KaiserP. V. LandshoffD. I. OliveJ. C. PolkinghorneL. Łukaszuk, and C-I. Tan, 1968a, Phys. Rev. 170, 1516
  39. Eden, R. J.G. D. KaiserP. V. LandshoffD. I. OliveJ. C. PolkinghorneL. ŁukaszukC-I. Tan, and C-I. Tan, 1968b, Phys. Rev. 172, 1583
  40. Einhorn, M., and R. Blankenbecler, 1970, Stanford Preprint, (Annals of Physics, to be published)
  41. Epstein, H., 1966, article in Axiomatic Field Theory, edited by M. Chretien and S. Deser (Gordon and Breach, New York)
  42. Epstein, H., 1968, in Proceedings of CERN Conference on High Energy Collisions of Hadrons
  43. Epstein, H., V. Glaser, and A. Martin, 1969, Commun. Math. Phys. 13, 257
  44. Finkelstein, J., 1970, Phys. Rev. Letters 24, 172, 472
  45. Foley, K. J., et al., 1967, Phys. Rev. Letters 19, 193 ibid.19, 330
  46. Frautschi, S., and B. Margolis, 1968, Nuovo Cimento 56, 1155
  47. Froissart, M., 1961, Phys. Rev. 123, 1053
  48. Froissart, M., 1964, in Dispersion Relations and Their Connection with Causality (Academic, New York) (Varenna Summer School Lectures)
  49. Gervais, J. L., and F. J. Yndurain, 1968, Phys. Rev. 167, 1289 ibid.169, 1187
  50. Goldberger, M. L., 1955, Phys. Rev. 99, 979
  51. Greenberg, O. W., and F. E. Low, 1961, Phys. Rev. 124, 2047
  52. Haag, R., and B. Schroer, 1962, J. Math. Phys. 3, 248
  53. Hara, Y., 1964, Phys. Rev. 136, B507
  54. Hepp, K., 1964, Helv. Phys. Acta 37, 639
  55. Hepp, K., 1966, article in Axiomatic Field Theory, edited by M. Chretien and S. Deser (Gordon and Breach, New York)
  56. Jaffe, A., 1966, Phys. Rev. Letters 17, 661
  57. Jaffe, A., 1968, Varenna Lectures (to be published)
  58. Jaffe, A., 1969, Rev. Mod. Phys. 41, 576
  59. Jin, Y. S., and S. W. Macdowell, 1965, Phys. Rev. 138, B1279
  60. Jin, Y. S.S. W. Macdowell, and A. Martin, 1964, Phys. Rev. 135, B1369, and B1375
  61. Khuri, N., 1969, Lecture notes at Brookhaven Summer School (unpublished)
  62. Khuri, N., and T. Kinoshita, 1965, Phys. Rev. 140, B706
  63. Kinoshita, T., 1964a, Boulder Summer School Lectures (University of Colorado Press, Boulder), Vol. 8b
  64. Kinoshita, T., 1964b, Phys. Rev. Letters 12, 257
  65. Kinoshita, T., 1966, in Perspectives in Modern Physics, edited by R. E. Marshak (Wiley, New York)
  66. Kinoshita, T., 1970, Preprint, Cornell University
  67. Kinoshita, T._____, T., J. J. Loeffel, and A. Martin, 1964, Phys. Rev. 135, B1464
  68. Leader, E., 1963, Physics Letters 5, 75
  69. Lehmann, H., 1958, Nuovo Cimento 10, 579
  70. Lehmann, H., 1959, Nuovo Cimento Suppl. 14, 153
  71. Lehmann, H., 1964, Varenna Lecture Notes in Nuovo Cimento Supplement
  72. Lehmann, H., 1966, Commun. Math. Phys. 2, 375
  73. Lehmann, H., K. Symanzik, and W. Zimmerman, 1954, Nuovo Cimento 1, 205
  74. Lehmann, H.K. SymanzikW. Zimmerman, K. Symanzik, and W. Zimmerman, 1957, Nuovo Cimento 6, 319
  75. Lindenbaum, S. J., 1967a, in The Proceedings of the Miami Conference on Symmetry Principles at High Energies
  76. Lindenbaum, S. J., 1967b, in Proceedings of the Irvine Conference on Pion-Nucleon Scattering (Wiley, New York)
  77. Lindenbaum, S. J., 1968, in The Proceedings of the Trieste Symposium on Contemporary Physics
  78. Logunov, A., M. Mestvirishvili, Nguyen Van Hieu, and Nguyen Ngoc Thuan, 1968, Proceedings of CERN Conference on High Energy Collisions of Hadrons
  79. Logunov, A.M. MestvirishviliNguyen Van HieuNguyen Ngoc Thuan, Nguyen Van Hieu, I. T. Todorov, and O. A. Krustalev, 1963, Physics Letters 7, 69
  80. Łukaszuk, L., 1966, Nuovo Cimento 51A, 67
  81. Łukaszuk, L., 1970, Acta Physica Polonica (to be published)
  82. Łukaszuk, L., and A. Martin, 1967, Nuovo Cimento 52A, 122
  83. Macdowell, S. W., and A. Martin, 1964, Phys. Rev. 135, B960
  84. Mahoux, G., 1969, thesis, University of Paris
  85. Mahoux, G., and A. Martin, 1968, in Proceedings of CERN Conference on High Energy Collisions of Hadrons
  86. Mandelstam, S., 1958, Phys. Rev. 112, 1344
  87. Mandelstam, S., 1964, Nuovo Cimento 15, 658
  88. Martin, A., 1963a, in Strong Interactions and High Energy Physics, edited by R. G. Moorhouse (Oliver and Boyd, Edinburgh, England)
  89. Martin, A., 1963b, Phys. Rev. 129, 1432
  90. Martin, A., 1963c, Nuovo Cimento 29, 993
  91. Martin, A., 1965a, Nuovo Cimento 37, 671
  92. Martin, A., 1965b, Nuovo Cimento 39, 704
  93. Martin, A., 1966a, Nuovo Cimento 42, 930
  94. Martin, A., 1966b, Nuovo Cimento 44, 1219
  95. Martin, A., 1967a, Lectures at Brandeis Summer School (Gordon and Breach, (to be published)
  96. Martin, A., 1967b, Nuovo Cimento 47, 265
  97. Martin, A., 1969, Scattering Theory: Unitarity, Analyticity and Crossing (Springer, Berlin)
  98. Meiman, N. N., 1962, Zh. Eksp. Teor. Fiz. 43, 227 [Sov. Phys. JETP 16, 1609 (1963)]
  99. Oehme, R., 1963, article in Strong Interactions and High Energy Physics, edited by R. G. Moorhouse (Oliver and Boyd, Edinburgh, England)
  100. Okun, L. B., and I. Ia. Pomeranchuk, 1956, Zh. Eksp. Teor. Fiz. 30, 424 [Sov. Phys. JETP 3, 307 (1956)]
  101. Pomeranchuk, I. Ia., 1958, Zh. Eksp. Teor. Fiz. 34, 25 [Sov. Phys. JETP 7, 499 (1958)]
  102. Rarita, W., 1970, Preprint UCRL-19442, Phys. Rev. (to be published)
  103. Roy, S. M., and V. Singh, 1969, Preprint from Tata Institute, Bombay, Phys. Rev. Letters (to be published)
  104. Singh, V., and S. M. Roy, 1970a, Ann. Phys. (N.Y.) 57, 461
  105. Singh, V.S. M. Roy, and S. M. Roy, 1970b, Phys. Rev. Letters 24, 28, 699
  106. Singh, V.S. M. RoyS. M. Roy, and S. M. Roy, 1970c, Phys. Rev. D 1, 2638
  107. Sommer, G., 1967a, Nuovo Cimento 52, 850 ibid.52, 866
  108. Sommer, G., 1967b, Nuovo Cimento 48, 92
  109. Sommer, G., 1967c, Nuovo Cimento 52, 373
  110. Streater, R. F., and A. S. Wightman, 1964, PCT, Spin Statistics, and All That (Benjamin, New York)
  111. Sugawara, H., 1963, Progr. Theoret. Phys. (Kyoto) 30, 404
  112. Sugawara, H., 1965, Phys. Rev. Letters 14, 336
  113. Sugawara, H., and A. Kanazawa, 1961, Phys. Rev. 123, 1895
  114. Sugawara, H.A. Kanazawa, and A. Kanazawa, 1962, Phys. Rev. 126, 2251
  115. Sugawara, H.A. KanazawaA. Kanazawa, and A. Tubis, 1963, Phys. Rev. 130, 2127
  116. Symanzik, K., 1957, Phys. Rev. 100, 743
  117. Tiktopoulos, G., and S. Treiman, 1968a, Phys. Rev. 167, B1437
  118. Tiktopoulos, G.S. Treiman, and S. Treiman, 1968b, Phys. Rev. 167, B1408
  119. Toll, J., 1956, Phys. Rev. 104, 1760
  120. Truong, T. N., 1970, Preprint Ecole Polytechnique, Paris
  121. Van Hove, L., 1964, Rev. Mod. Phys. 36, 655
  122. Wang, L. L., 1966, Phys. Rev. 142, 1187
  123. West, G. B., and D. R. Yennie, 1968, Phys. Rev. 172, 1413
  124. Wit, R., 1963, Acta Physica Polonica 24, 271
  125. Wit, R., 1965a, Acta Physica Polonica 28, 295
  126. Wit, R., 1965b, Physics Letters 15, 350
  127. Wit, R., 1970a, CERN preprint, TH.1137
  128. Wit, R., 1970b, CERN preprint, TH.1144
  129. Wong, D. Y., 1964, in Dispersion Relations and Their Connection with Causality (Academic, New York), (Varenna Summer School Lectures)
  130. Yamamoto, K., 1963, Nuovo Cimento 27, 1277
  131. Yndurain, F. J., 1970, CERN Preprint TH.1122

Outline

Information

Rev. Mod. Phys. 43, 15– Published 1 January, 1971

    © 1971 American Physical Society

    Sign In to Your Journals Account

    Filter

    Filter

    Article Lookup

    Enter a citation