Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus
Albeverio, Sergio
Albeverio
Sergio
Kawabi, Hiroshi
Kawabi
Hiroshi
Ihalache, Stefan-Radu
Ihalache
Stefan-Radu
Röckner, Michael
Röckner
Michael
We consider space-time quantum fields with exponential/trigonometric interactions. In the context of Euclidean quantum field theory, the former and the latter are called the H circle divide egh-Krohn model and the Sine-Gordon model, respectively. The main objective of the present paper is to construct infinite dimensional diffusion processes which solve modified stochastic quantization equations for these quantum fields on the two-dimensional torus by the Dirichlet form approach and to prove strong uniqueness of the corresponding Dirichlet operators.
24
1
33-69
33-69
Scuola Normale Superiore
2023