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Dual separated variables and scalar products
Physics Letters B ( IF 4.4 ) Pub Date : 2020-07-01 , DOI: 10.1016/j.physletb.2020.135494
Nikolay Gromov , Fedor Levkovich-Maslyuk , Paul Ryan , Dmytro Volin

Abstract Separation of variables (SoV) is an extremely efficient and elegant technique for analysing physical systems but its application to integrable spin chains was limited until recently to the simplest su ( 2 ) cases. In this paper we continue developing the SoV program for higher-rank spin chains and demonstrate how to derive the measure for the su ( 3 ) case. Our results are a natural consequence of factorisability of the wave function and functional orthogonality relations following from the interplay between Baxter equations for Q-functions and their dual.

中文翻译:

双分离变量和标量积

摘要 变量分离 (SoV) 是一种用于分析物理系统的极其有效和优雅的技术,但它在可积自旋链中的应用直到最近还仅限于最简单的 su (2) 情况。在本文中,我们继续为更高秩的自旋链开发 SoV 程序,并演示如何导出 su ( 3 ) 情况的测度。我们的结果是波函数的可分解性和函数正交关系的自然结果,这是根据 Q 函数的 Baxter 方程与其对偶之间的相互作用得出的。
更新日期:2020-07-01
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