Quantum integrability of massive anisotropic SU(N) fermionic models

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. (c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.

Automated summary

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