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Stochastic quantization of gauge theories
Authors:Bruce McClain   Antti Niemi  Cyrus Taylor  
Affiliation:1. Center for Theoretical Physics, Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 USA;2. Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 USA
Abstract:The equivalence between a scalar quantum field theory in D dimensions and its classical counterpart in D + 2 dimensions which is coupled to an external random source with Gaussian correlations was observed by previous authors. This stochastic quantization is extended to gauge theories. The proof exploits the supersymmetry formalism suggested by Parisi and Sourlas.
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