有理六顶点模型分区函数的因式分解

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B Pub Date : 2024-11-17 DOI:10.1016/j.nuclphysb.2024.116743

Kohei Motegi

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引用次数: 0

摘要

我们展示了有理六顶点模型的一类分割函数的因式分解公式。首先，我们展示了三角形边界下分区函数的因式分解公式。此外，通过将因式分解公式与贝利亚德-皮门塔-斯拉夫诺夫（Belliard-Pimenta-Slavnov）的广义域壁边界分区函数的显式相结合，我们推导出梯形边界下分区函数的因式分解公式，梯形边界可视为三角形边界的广义化。我们还讨论了梯形边界下空虚形成概率的应用，它允许行列式表示。

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Factorization of rational six vertex model partition functions

We show factorization formulas for a class of partition functions of rational six vertex model. First we show factorization formulas for partition functions under triangular boundary. Further, by combining the factorization formulas with the explicit forms of the generalized domain wall boundary partition functions by Belliard-Pimenta-Slavnov, we derive factorization formulas for partition functions under trapezoid boundary which can be viewed as a generalization of triangular boundary. We also discuss an application to emptiness formation probabilities under trapezoid boundary which admit determinant representations.

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.