Nonlinear Phenomena in Canonical Stochastic Quantization

Abstract

Stochastic quantization provides a connection between quantum field theory and statistical mechanics, with applications especially in gauge field theories. Euclidean quantum field theory is viewed as the equilibrium limit of a statistical system coupled to a thermal reservoir. Nonlinear phenomena in stochastic quantization arise when employing nonlinear Brownian motion as an underlying stochastic process. We discuss a novel formulation of the Higgs mechanism in QED.

8 pages, invited talk at the International Workshop ``Critical Phenomena and Diffusion in Complex Systems'', Dec. 5-7, 2006, Nizhni Novgorod, Russia

References in corpus (4)

• Generalized Stochastic Quantization of Yang-Mills Theory
• Nonperturbative Stochastic Quantization of the Helix Model
• Global Path Integral Quantization of Yang-Mills Theory
• Nonlinear Brownian Motion and Higgs Mechanism