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Renormalizability of Gauge Theories

Abdus Salam

  • Imperial College, London, England

Phys. Rev. 127, 331 – Published 1 July, 1962

DOI: https://doi.org/10.1103/PhysRev.127.331

Abstract

By generalization of methods developed by Kamefuchi, O'Raifeartaigh, and Salam, conditions for renormalizability of general gauge theories of massive vector mesons are derived. These conditions are stated explicitly in Eqs. (39) and (40) of the text. It is shown that all theories based on simple Lie groups (with the one exception of the neutral vector meson theory in interaction with a conserved current) are unrenormalizable.

References (13)

  1. A. Komar and A. Salam, Nuclear Phys. 21, 624 (1960) S. Kamefuchi and H. Umezawa ibid. 23, 399 (1961) S. Kamefuchi, L. O'Raifeartaigh, and A. Salam, ibid.23 (to be published)
  2. Y. Nambu, Phys. Rev. 122, 345 (1961)
  3. A. Salam, Nuclear Phys. 18, 681 (1960) S. Kamefuchi, ibid. 18, 691 (1960)
  4. Y. Chisholm, Nuclear Phys. 26, 469 (1961)
  5. H. J. Borchers, Nuovo cimento 15, 784 (1960)
  6. Omitted endnote

  7. Omitted endnote

  8. Omitted endnote

  9. Omitted endnote

  10. Omitted endnote

  11. S. Kamefuchi (private communication)
  12. P. Ionides, Nuclear Phys. (to be published) S. Glashow and Gell-Mann, Ann. Phys. (New York) 15, 439 (1961)
  13. H. Umezawa, M. Konuma, and M. Wada (to be published)

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