A stochastic control approach to Sine Gordon EQFT

2022/03/13 by Nikolay A. Barashkov, Barashkov, Nikolay · 1 citation
Economics, Econometrics and Finance · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Optimization and Control (math.OC) #Probability (math.PR) #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2203.06626

openalex publication_date 2022/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Sine-Gordon model for β²< 4 π in infinite volume. We give a variatonal characterization of it's laplace transform, and deduce from this large deviations. Along the way we obtain estimates which are strong enough to obtain a proof of the Osterwalder-Schrader axioms including exponential decay of correlations as a byproduct. Our method is based on the Boue-Dupuis formula with an emphasis on the stochastic control structure of the problem.

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