A simple construction of the sine-Gordon model via stochastic quantization
Probability
2024-12-24 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We present a simple PDE construction of the sine-Gordon measure below the first threshold (), in both the finite and infinite volume settings, by studying the corresponding parabolic sine-Gordon model. We also establish pathwise global well-posedness of the hyperbolic sine-Gordon model in finite volume for .
Keywords
Cite
@article{arxiv.2412.16404,
title = {A simple construction of the sine-Gordon model via stochastic quantization},
author = {Massimiliano Gubinelli and Martin Hairer and Tadahiro Oh and Younes Zine},
journal= {arXiv preprint arXiv:2412.16404},
year = {2024}
}