Stochastic Gauge Fixing for Supersymmetric Yang-Mills Theory | Zendy

N. Nakazawa | Zendy

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Stochastic Gauge Fixing for Supersymmetric Yang-Mills Theory

Author(s) -

N. Nakazawa

Publication year - 2006

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.116.883

Subject(s) - brst quantization , stochastic quantization , physics , gauge fixing , mathematical physics , yang–mills theory , supersymmetric gauge theory , gauge theory , quantum gauge theory , faddeev–popov ghost , gauge symmetry , introduction to gauge theory , gauge boson , quantum mechanics , quantum , path integral formulation

The gauge fixing procedure for N=1 supersymmetric Yang-Mills theory (SYM) isproposed in the context of the stochastic quantization method (SQM). Thestochastic gauge fixing, which was formulated by Zwanziger for Yang-Millstheory, is extended to SYM_4 in the superfield formalism by introducing achiral and an anti-chiral superfield as the gauge fixing functions. It is shownthat SQM with the stochastic gauge fixing reproduces the probabilitydistribution of SYM_4, defined by the Faddeev-Popov prescription, in theequilibrium limit with an appropriate choice of the stochastic gauge fixingfunctions. We also show that the BRST symmetry of the corresponding stochasticaction and the power counting argument in the superfield formalism ensure therenormalizability of SYM_4 in this context.Comment: 35 pages, no figures, published version in Prog. Theor. Phy

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