Spontaneously Broken Gauge Symmetries. IV. General Gauge Formulation
Abstract
The advent of the dimensionalregularization procedure allows the study of renormalizability of spontaneously broken gauge theories formulated in a wide class of gauges. We derive and study the WardTakahashi identities appropriate to such gauges. A consequence of the WardTakahashi 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 R_{ξ}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 R_{ξ} gauge.
 Publication:

Physical Review D
 Pub Date:
 February 1973
 DOI:
 10.1103/PhysRevD.7.1049
 Bibcode:
 1973PhRvD...7.1049L