Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus
Probability
2020-04-28 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
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 Hoegh-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.
Keywords
Cite
@article{arxiv.2004.12383,
title = {Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus},
author = {Sergio Albeverio and Hiroshi Kawabi and Stefan-Radu Mihalache and Michael Roeckner},
journal= {arXiv preprint arXiv:2004.12383},
year = {2020}
}