Sine-Gordon type field in spacetime of arbitrary dimension. II: Stochastic quantization

DOI10.1007/BF02070929zbMath0870.60099OpenAlexW2035904408MaRDI QIDQ676896

A. I. Kirillov

Publication date: 1 September 1997

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02070929

zbMATH Keywords

Langevin equationDirichlet formsdistribution-valued diffusion process

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Path integrals in quantum mechanics (81S40) Quantum stochastic calculus (81S25)

Related Items (1)

Stochastic quantization using a kerneled Langevin equation

Cites Work

• Formes de Dirichlet générales et densité des variables aléatoires réelles sur l'espace de Wiener. (General Dirichlet forms and density of real random variables on Wiener space)
• Stochastic quantization of field theory in finite and infinite volume
• Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process
• A characterization of Hida distributions
• Classical Dirichlet forms on topological vector spaces --- closability and a Cameron-Martin formula
• Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms
• Analytic properties of infinite-dimensional distributions
• Dirichlet forms and diffusion processes on rigged Hilbert spaces
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