Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-02-11
Nucl.Phys.B551:813-825,1999
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, no figures, Latex, final version published in NPB
Scientific paper
10.1016/S0550-3213(99)00226-6
We apply the formalism of extended BRS symmetry to the investigation of the gauge dependence of the effective potential in a spontaneously symmetry broken gauge theory. This formalism, which includes a set of Grassmann parameters defined as the BRS variations of the gauge-fixing parameters, allows us to derive in a quick and unambiguous way the related Nielsen identities, which express the physical gauge independence, in a class of generalized 't Hooft gauges, of the effective potential. We show in particular that the validity of the Nielsen identities does not require any constraint on the gauge-fixing parameters, to the contrary of some claims found in the literature. We use the method of algebraic renormalization, which leads to results independent of the particular renormalization scheme used.
Del Cima Oswaldo M.
Franco Daniel H. T.
Piguet Olivier
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