Generalized Stochastic Quantization of Yang-Mills Theory

Abstract

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.

19 pages, Latex

References in corpus (3)

• BRST Symmetric Formulation of a Theory with Gribov-type Copies
• Nonperturbative Stochastic Quantization of the Helix Model
• Generalized Stochastic Gauge Fixing

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• Dependent coordinates in path integral measure factorization
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• Remarks on the thermodynamics and the vacuum energy of a quantum Maxwell gas on compact and closed manifolds
• Roles of the color antisymmetric ghost propagator in the infrared QCD
• Nonlinear Phenomena in Canonical Stochastic Quantization
• Perturbative Yang-Mills theory without Faddeev-Popov ghost fields
• Bodeker's Effective Theory: From Langevin Dynamics to Dyson-Schwinger Equations
• Quantizing Yang-Mills Theory: From Parisi-Wu Stochastic Quantization to a Global Path Integral