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

IF 1.2 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-06-25 DOI:10.1112/jlms.70214

Massimiliano Gubinelli, Martin Hairer, Tadahiro Oh, Younes Zine

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引用次数: 0

Abstract

We present a simple PDE construction of the sine-Gordon measure below the first threshold ( $β^{2} < 4 π$ ), 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 $β^{2} < 2 π$ .

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通过随机量化的简单构造正弦戈登模型

我们给出了低于第一阈值(β 2 ＆lt；4 π $\beta ^2 < 4\pi$)，在有限和无限体积设置下，通过研究相应的抛物线正弦-戈登模型。我们还建立了有限体积下β 2 ＆lt的双曲正弦-戈登模型的路径全局适定性；2 π $\beta ^2 < 2\pi$。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.