Stochastic gauge fixing for N = 1 supersymmetric Yang-Mills theory

Details Stochastic gauge fixing for N = 1 supersymmetric Yang-Mills theory Stochastic gauge fixing for N = 1 supersymmetric Yang-Mills theory

2003-08-13

arxiv.org/abs/hep-th/0308081v4

Prog.Theor.Phys.116:883-917,2007

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, no figures, published version in Prog. Theor. Phys

Scientific paper

10.1143/PTP.116.883

The gauge fixing procedure for N=1 supersymmetric Yang-Mills theory (SYM) is proposed in the context of the stochastic quantization method (SQM). The stochastic gauge fixing, which was formulated by Zwanziger for Yang-Mills theory, is extended to SYM_4 in the superfield formalism by introducing a chiral and an anti-chiral superfield as the gauge fixing functions. It is shown that SQM with the stochastic gauge fixing reproduces the probability distribution of SYM_4, defined by the Faddeev-Popov prescription, in the equilibrium limit with an appropriate choice of the stochastic gauge fixing functions. We also show that the BRST symmetry of the corresponding stochastic action and the power counting argument in the superfield formalism ensure the renormalizability of SYM_4 in this context.

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