Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Background Field Method in Stochastic Quantization of N = 1
  Supersymmetric Yang-Mills Theory   In the previous works, we proposed the stochastic quantization method (SQM)
approach to N=1 supersymmetric Yang-Mills theory (SSYM). In four dimensions, in
particular, we obtained the superfield Langevin equation and the corresponding
Fokker-Planck equation which describe the underlying stochastic process
manifestly preserving the global supersymmetry as well as the local gauge
symmetry. The stochastic gauge fixing procedure was also applied to SSYM_4 in
the superfield formalism. In this note, we apply the background field methd to
SSYM_4 in terms of the stochastic action principle in SQM approach. The
one-loop $\beta$-function for the gauge coupling agrees with that given by the
path-integral approach, thereby confirming that the stochastic gauge fixing
procedure with the background local gauge invariant Zwanziger's gauge fixing
functions simulates the contributions from the Nielsen-Kallosh ghost as well as
the Faddeev-Popov ghost at the one-loop level. We also show the equivalence of
the stochastic effective action in the background field method to the standard
one in SQM.

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The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat