Quantum integrability of a massive anisotropic SU(N) fermionic model

TL;DR

This paper investigates the quantum integrability of a massive anisotropic SU(N) fermionic model, deriving the S-matrix and exploring solutions related to the Yang-Baxter equation, especially in the SU(3) case.

Contribution

It introduces a method to regularize singular operator products and derives solutions for the S-matrix in a general anisotropic SU(N) fermionic model, including exceptional solutions.

Findings

Yang-Baxter equation holds in the massless limit for all couplings.

In the massive case, solutions relate to the eight-vertex model.

The SU(3) case exemplifies the model's properties.

Abstract

We consider a general anisotropic massive SU(N) fermionic model, and investigate its quantum integrability. In particular, by regularizing singular operator products, we derive a system of equations resulting in the S-matrix and find some non-trivial solutions. We illustrate our findings on the example of a SU(3) model, and show that the Yang-Baxter equation is satisfied in the massless limit for all coupling constants, while in the massive case the solutions are parameterized in terms of the exceptional solutions to the eight-vertex model.