Correlators of the Jost functions in the Sine-Gordon model

TL;DR

This paper solves the quantum scattering problem for the Sine-Gordon model and derives correlators of Jost functions using angular quantization, advancing understanding of quantum integrable systems.

Contribution

It introduces a novel approach to compute Jost function correlators in the Sine-Gordon model via angular quantization.

Findings

Derived explicit correlators of Jost functions.

Enhanced understanding of quantum scattering in integrable models.

Provided a new computational framework for the Sine-Gordon model.

Abstract

In this paper the quantum direct scattering problem is solved for the Sine-Gordon model. Correlators of the Jost functions are derived by the angular quantization method.