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Symmetry properties of massive gauge theories in nonlinear background gauges: Background dependence of Green functions

B. Geyer·D. M"ulsch
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Abstract

Nonabelian gauge theories with a generic background field A_mu in nonlinear gauges due to Delbourgo and Jarvis are investigated. The A_mu-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 A_mu and the corresponding functional for A_mu = 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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B. Geyer, D. M"ulsch. 1997-11-07. Symmetry properties of massive gauge theories in nonlinear background gauges: Background dependence of Green functions. https://arxiv.org/abs/hep-th/9711050

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