Quasi-classical Study of Form Factors in Finite Volume

TL;DR

This paper develops a quasi-classical approximation method for calculating form factors in finite volume quantum systems, utilizing the separation of variables linked to the Baxter equation.

Contribution

It introduces a novel quasi-classical approach to form factors in finite volume, connecting separation of variables with the Baxter equation.

Findings

Provides a new approximation technique for finite volume form factors

Establishes a link between separation of variables and Baxter equation

Enables more accurate calculations in quantum integrable models

Abstract

We construct the quasi-classical approximation of the form factors in finite volume using the separation of variables. The latter is closely related to the Baxter equation.