Boundary S-matrix for the Gross-Neveu Model

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.

13 pages, latex file, final version to appear in PLB

References in corpus (1)

• Tricritical Ising Model with a Boundary

Cited by in corpus (3)

• Integrable Boundary Conditions and Reflection Matrices for the O(N) Nonlinear Sigma Model
• Soliton S matrices for the critical A_{N-1}^(1) chain
• Difference equations for correlation functions of Belavin's $Z_n$-symmetric model with boundary reflection