FINITE FIELD-DEPENDENT BRS TRANSFORMATIONS

We consider infinitesimal field-dependent BRS transformations. We show that they can be integrated to yield finite BRS field-dependent transformations and have the same BRS form. We discuss a number of applications of the latter. We show that for certain special field-dependent BRS parameters (evaluated in a closed form), these can be used to connect the Faddeev-Popov effective action in a linear gauge with a gauge parameter to (i) the most general BRSanti-BRS symmetric action in linear gauges, (ii) the Faddeev-Popov effective action in quadratic gauges, and (iii) the Faddeev-Popov effective action with another distinct gauge parameter. In each case, the extra terms in the latter action are shown to arise from the Jacobian for the nonlocal field-dependent BRS transformations. Some applications of these ideas are suggested. © 1995 The American Physical Society.