Boundary S-matrix for the Gross-Neveu Model

TL;DR

This paper analyzes the boundary scattering properties of the Gross-Neveu model, deriving reflection matrices for elementary and bound states, and confirming their consistency with integrable boundary conditions.

Contribution

It provides explicit reflection matrices for the Gross-Neveu model and the nonlinear sigma model, demonstrating their consistency with bootstrap equations and integrable boundary conditions.

Findings

Reflection matrices for elementary fermions and bound states derived

Reflection matrices satisfy bootstrap consistency conditions

Connection established with previously identified integrable boundary conditions

Abstract

We study the scattering theory for the Gross-Neveu model on the half-line. We find the reflection matrices for the elementary fermions, and by fusion we compute the ones for the two-particle bound-states, showing that they satisfy non-trivial bootstrap consistency conditions. We also compute more general reflection matrices for the Gross-Neveu model and the nonlinear sigma model, and argue that they correspond to the integrable boundary conditions we identified in our previous paper hep-th/9809178.