Boundary Sine-Gordon Interactions at the Free Fermion Point

TL;DR

This paper analyzes the boundary sine-Gordon model at the free fermion point, deriving the boundary S-matrix and relating it to known solutions, thus connecting physical parameters with theoretical formalism.

Contribution

It provides a detailed bosonization approach at the free fermion point and explicitly relates the boundary S-matrix to the Ghoshal-Zamolodchikov solution.

Findings

Derived the boundary S-matrix as a function of physical parameters.

Established a correspondence between formal parameters and physical parameters.

Connected the boundary sine-Gordon model to existing theoretical solutions.

Abstract

We study bosonization of the sine-Gordon theory in the presence of boundary interactions at the free fermion point. In this way we obtain the boundary S-matrix as a function of physical parameters in the boundary sine-Gordon Lagrangian. The boundary S-matrix can be matched onto the solution of Ghoshal and Zamolodchikov, thereby relating the formal parameters in the latter solution to the physical parameters in the lagrangian.