Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus

Sergio Albeverio, Hiroshi Kawabi, Stefan Radu Mihalache, Michael Röckner

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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 Høegh-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.

Original languageEnglish
Pages (from-to)33-69
Number of pages37
JournalAnnali della Scuola normale superiore di Pisa - Classe di scienze
Volume24
Issue number1
DOIs
Publication statusPublished - 2023

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Mathematics (miscellaneous)

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