Spontaneously Broken Gauge Symmetries. IV. General Gauge Formulation

Benjamin W. Lee and Jean Zinn-Justin
Phys. Rev. D 7, 1049 – Published 15 February 1973
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Abstract

The advent of the dimensional-regularization procedure allows the study of renormalizability of spontaneously broken gauge theories formulated in a wide class of gauges. We derive and study the Ward-Takahashi identities appropriate to such gauges. A consequence of the Ward-Takahashi identities is that the physical S matrix is invariant under a variation of the gauge condition. As remarked before, since the variation of a parameter in the Rξ-gauge formulation shifts the masses of unphysical excitations, the above result, the ξ independence of the physical S matrix, implies that the unphysical excitations cannot contribute to the sum over intermediate states, establishing the unitarity of the S matrix. We also give the renormalization procedure of a model formulated in the Rξ gauge.

  • Received 30 October 1972

DOI:https://doi.org/10.1103/PhysRevD.7.1049

©1973 American Physical Society

Authors & Affiliations

Benjamin W. Lee*

  • Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11790

Jean Zinn-Justin

  • Service de Physique Théorique, Centre d'Etudes Nucléaires de Saclay, B.P.2, 91 Gif-sur-Yvette, France

  • *Work supported in part by the National Science Foundation Grant No. GP-32998X.

See Also

Spontaneously Broken Gauge Symmetries. I. Preliminaries

Benjamin W. Lee and Jean Zinn-Justin
Phys. Rev. D 5, 3121 (1972)

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Vol. 7, Iss. 4 — 15 February 1973

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