广义代数贝特方差中单色矩阵元素的作用

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/s0040577923120085

G. Kulkarni, N. A. Slavnov

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引用次数: 0

摘要

摘要我们在广义代数贝特解析的框架内考虑了一个（XYZ）自旋链。我们计算了贝特矢量上的单色矩阵元素作为新贝特矢量的线性组合的作用。我们还计算了前贝特矢量上的规整变换单色矩阵元素的多重作用，并用 \(8\)-vertex 模型的分割函数来表达结果。

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Action of the monodromy matrix elements in the generalized algebraic Bethe ansatz

Abstract

We consider an \(XYZ\) spin chain within the framework of the generalized algebraic Bethe ansatz. We calculate the actions of monodromy matrix elements on Bethe vectors as linear combinations of new Bethe vectors. We also compute the multiple action of the gauge-transformed monodromy matrix elements on the pre-Bethe vector and express the results in terms of the partition function of the \(8\)-vertex model.

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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.