Reflection relations and fermionic basis

TL;DR

This paper explores the deep connection between reflection relations and fermionic basis methods for computing one-point functions in the sine-Gordon model, unifying two previously separate approaches.

Contribution

It demonstrates the fundamental relationship between the reflection relations and fermionic basis in the context of the sine-Gordon model.

Findings

The two approaches are deeply interrelated.

Unified understanding of methods for one-point functions.

Potential for improved computational techniques.

Abstract

There are two approaches to computing the one-point functions for sine-Gordon model in infinite volume. One is a bootstrap type procedure based on the reflection relations. Another uses the fermionic basis which was originally found for the lattice six-vertex model. In this paper we show that the two approaches are deeply interrelated.