A simple construction of the sine-Gordon model via stochastic quantization

Massimiliano Gubinelli; Martin Hairer; Tadahiro Oh; Younes Zine

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arXiv · 2412.16404

A simple construction of the sine-Gordon model via stochastic quantization

Massimiliano Gubinelli·Martin Hairer·Tadahiro Oh·Younes Zine

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Abstract

We present a simple PDE construction of the sine-Gordon measure below the first threshold ($\be^2 < 4\pi$), 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 $\be^2 < 2\pi$.

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Massimiliano Gubinelli, Martin Hairer, Tadahiro Oh, Younes Zine. 2024-12-20. A simple construction of the sine-Gordon model via stochastic quantization. https://arxiv.org/abs/2412.16404

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