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Gauge-invariant proper self-energies and vertices in gauge theories with broken symmetry

Joannis Papavassiliou

  • Department of Physics, University of California, Los Angeles, California 90024-1547

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Phys. Rev. D 41, 3179 – Published 15 May, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.3179

Abstract

Using the pinch technique, we show how to recover, from the S matrix of a spontaneously broken non-Abelian gauge theory, proper self-energies and vertices which are fully gauge invariant when one or more momenta are off shell. Explicit calculations are carried out at the one-loop level for gauge-boson self-energies and fermion-gauge-boson vertices in a simple SU(2) gauge theory with a Higgs boson. The same technique allows us to calculate, at one-loop order, a neutrino electromagnetic form factor which is gauge invariant at all photon momenta, thus resolving a long-standing problem. We show how massless Goldstone bosons, not present in the S matrix, must be introduced into Green's functions in order to reconcile gauge invariance and renormalizability.

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References (24)

  1. J. M. Cornwall, in Proceedings of the French-American Seminar on Theoretical Aspects of Quantumo Chromodynamics, Marseille, France, 1981, edited by J. W. Dash (Centre de Physique Theorique Report No. CPT-81/P-1345, Marseille, 1982)
  2. J. M. Cornwall, Phys. Rev. D 26, 1453 (1982)
  3. J. M. Cornwall, W.-S. Hou, and J. E. King, Phys. Lett. 153B, 173 (1988)
  4. S. Nadkarni, Phys. Rev. Lett. 61, 396 (1988)
  5. B. Haeri, Phys. Rev. D 38, 3799 (1988)
  6. J. M. Cornwall and J. Papavassiliou, Phys. Rev. D 40, 3474 (1989)
  7. R. Jackiw and K. Johnson, Phys. Rev. D 8, 2386 (1973) J. M. Cornwall and R. Norton, ibid. 8, 3338 (1973) J. M. Cornwall, ibid. 10, 500 (1974)
  8. B. W. Lee and J. Zinn-Justin, Phys. Rev. D 7, 1049 (1973)
  9. H. Georgi and S. L. Glashow, Phys. Rev. Lett. 28, 1494 (1972)
  10. K. Fujikawa, B. W. Lee, and A. I. Sanda, Phys. Rev. D 6, 2923 (1972)
  11. E. S. Abers and B. W. Lee, Phys. Rep. 9C, 1 (1973)
  12. W. A. Bardeen, R. Gastmans, and B. Lautrup, Nucl. Phys. B46, 319 (1972)
  13. G. Degrassi, A. Sirlin, and W. J. Marciano, Phys. Rev. D 39, 287 (1989)
  14. G. 't Hooft, Nucl. Phys. B33, 173 (1971)

  15. Omitted endnote

  16. Omitted endnote

  17. Omitted endnote

  18. Omitted endnote

  19. J. L. Lucio, A. Rosado, and A. Zepeda, Phys. Rev. D 31, 1091 (1985)
  20. A. Grau and J. A. Grifols, Phys. Lett. 116B, 233 (1986)
  21. G. Auriema, Y. Srivastava, and A. Widom, Phys. Lett. B 195, 254 (1987)
  22. [13]
  23. W. J. Marciano and A. Sirlin, Phys. Rev. D 22, 2695 (1980)

  24. Omitted endnote

Outline

Information

Phys. Rev. D 41, 3179– Published 15 May, 1990
  • Received 26 October 1989

© 1990 American Physical Society

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