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Generalized Stochastic Quantization of Yang–Mills Theory

✍ Scribed by Helmuth Hüffel; Gerald Kelnhofer

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
251 KB
Volume
270
Category
Article
ISSN
0003-4916

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✦ Synopsis

We perform the stochastic quantization of Yang Mills theory in configuration space and derive the Faddeev Popov path integral density. Based on a generalization of the stochastic gauge fixing scheme and its geometrical interpretation this result is obtained as the exact equilibrium solution of the associated Fokker Planck equation. Included in our discussion is the precise range of validity of our approach.

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Stochastic quantization of gauge theorie
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✍ Bruce McClain; Antti Niemi; Cyrus Taylor 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 695 KB

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 exp