Symmetry properties of massive gauge theories in nonlinear background gauges: Background dependence of Green functions
Abstract
Nonabelian gauge theories with a generic background field Amu in nonlinear gauges due to Delbourgo and Jarvis are investigated. The Amu-dependence is completely determined by the help of a linear differential equation which obtaines from the Kluberg-Stern-Zuber and the Lee identity. Its integration leads to a relation between the one-particle irreducible vertex functional in the background field Amu and the corresponding functional for Amu = 0. An analogous relation holds for the generating functional of the complete Green functions which, after restriction to physical Green functions, is used to confirm a result obtained by Rouet in the case of linear background gauge.
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