Connecting Green's Functions in an Arbitrary Pair of Gauges and an Application to Planar Gauges

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages

Scientific paper

10.1142/S0217751X01005651

We establish a finite field-dependent BRS transformation that connects the Yang-Mills path-integrals with Faddeev-Popov effective actions for an arbitrary pair of gauges F and F'. We establish a result that relates an arbitrary Green's function [either a primary one or one that of an operator] in an arbitrary gauge F' to those in gauge F that are compatible to the ones in gauge F by its construction [in that the construction preserves expectation values of gauge-invariant observables]. We establish parallel results also for the planar gauge-Lorentz gauge connection.

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