The spectrum of boundary states in sine-Gordon model with integrable boundary conditions

TL;DR

This paper analyzes the bound state spectrum and reflection factors in the sine-Gordon model with integrable boundary conditions, elucidating the relationship between UV and IR parameters through bootstrap methods.

Contribution

It determines the bound state spectrum and reflection factors for arbitrary integrable boundary conditions in the sine-Gordon model, and clarifies the UV-IR parameter relationship.

Findings

Bound state spectrum and reflection factors are explicitly determined.

The relationship between UV and IR parameters is derived from symmetry considerations.

Bootstrap methods are used to close the spectrum analysis.

Abstract

The bound state spectrum and the associated reflection factors are determined for the sine-Gordon model with arbitrary integrable boundary condition by closing the bootstrap. Comparing the symmetries of the bound state spectrum with that of the Lagrangian it is shown how one can "derive" the relationship between the UV and IR parameters conjectured earlier.