New approach to KPZ models through free fermions at positive temperature

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-08-01 DOI:10.1063/5.0089778

T. Imamura, Matteo Mucciconi, T. Sasamoto

引用次数: 1

Abstract

We give a short account of our new approach to study models in the Kardar–Parisi–Zhang universality class by connecting them to free fermions at positive temperature. Our ideas and methods are explained mainly for the semi-discrete directed polymer model due to O’Connell and Yor.

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正温度下自由费米子建立KPZ模型的新方法

我们给出了一个简短的叙述，我们的新方法，研究模型在kardar - paris - zhang普适类连接到自由费米子在正温度。本文主要针对O 'Connell和Yor的半离散定向聚合物模型阐述了我们的思想和方法。

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 Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.