新的可解双矩阵模型和 BKP tau 函数

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2023-12-22 DOI:10.1134/s0040577923120012

E. N. Antonov, A. Yu. Orlov

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引用次数: 0

摘要

摘要我们提出了双矩阵 Zinn-Justin-Zuber 模型的精确可解修正，并将其写成 tau 函数。这些矩阵积分的大分区函数被写成费米子期望值。扰动理论数列明确写成严格分区数列。并给出了相关的弦方程。

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A new solvable two-matrix model and the BKP tau function

Abstract

We present exactly solvable modifications of the two-matrix Zinn-Justin–Zuber model and write it as a tau function. The grand partition function of these matrix integrals is written as the fermion expectation value. The perturbation theory series is written explicitly in terms of a series in strict partitions. The related string equations are presented.

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.