On the quantum reflection factor for the sinh-Gordon model with general boundary conditions

TL;DR

This paper computes one-loop quantum corrections to the classical reflection factor in the sinh-Gordon model with general boundary conditions, revealing that these corrections are expressed as hypergeometric functions within an integrable framework.

Contribution

It provides the first partial calculation of quantum corrections to the reflection factor for the sinh-Gordon model with general boundary conditions using affine Toda perturbation theory.

Findings

Quantum corrections are expressed as hypergeometric functions.

Boundary conditions compatible with integrability are considered.

Partial results for one-loop corrections are obtained.

Abstract

The one loop quantum corrections to the classical reflection factor of the sinh-Gordon model are calculated partially for general boundary conditions. The model is studied under boundary conditions which are compatible with integrability, and in the framework of the conventional perturbation theory generalized to the affine Toda field theory. It is found that the general form of the related quantum corrections are hypergeometric functions.