Some semi-classical issues in boundary sine-Gordon model

TL;DR

This paper investigates semi-classical quantisation in the boundary sine-Gordon model, establishing parameter relations and analyzing soliton reflections to deepen understanding of boundary quantum field theories.

Contribution

It introduces a relation between Lagrangian and bootstrap parameters through semi-classical energy analysis and confirms it via soliton reflection studies.

Findings

Established a relation between Lagrangian and bootstrap parameters.

Confirmed the relation through semi-classical limit analysis of soliton reflections.

Provided insights into boundary effects in quantum sine-Gordon models.

Abstract

The semi-classical quantisation of the two lowest energy static solutions of boundary sine-Gordon model is considered. A relation between the Lagrangian and bootstrap parameters is established by comparing their quantum corrected energy difference and the exact one. This relation is also confirmed by studying the semi-classical limit of soliton reflections on the boundary.