Nonperturbative Stochastic Quantization of the Helix Model

Abstract

The helix model describes the minimal coupling of an abelian gauge field with three bosonic matter fields in 0+1 dimensions; it is a model without a global Gribov obstruction. We perform the stochastic quantization in configuration space and prove nonperturbatively equivalence with the path integral formalism. Major points of our approach are the geometrical understanding of separations into gauge independent and gauge dependent degrees of freedom as well as a generalization of the stochastic gauge fixing procedure which allows to extract the equilibrium Fokker-Planck probability distribution of the model.

43 pages, LaTex, 1 encapsulated Postscript figure (epsbox.sty) included

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• On the Configuration Space of Gauge Theorie
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Cited by in corpus (9)

• Geometry of the physical phase space in quantum gauge models
• Generalized Stochastic Quantization of Yang-Mills Theory
• Global Path Integral Quantization of Yang-Mills Theory
• QED Revisited: Proving Equivalence Between Path Integral and Stochastic Quantization
• Dependent coordinates in path integral measure factorization
• Field Space Entanglement Entropy, Zero Modes and Lifshitz Models
• BRST Inner Product Spaces and the Gribov Obstruction
• On the geometrical representation of the path integral reduction Jacobian: The case of dependent coordinates in the description of the reduced motion
• Nonlinear Phenomena in Canonical Stochastic Quantization