Dynamical Topological Phase Transition in Massless Thirring Model

TL;DR

This paper investigates the topological properties of the SU(N) Thirring model, revealing a dynamical topological phase transition at infinite energy scales in the anisotropic case with U(1) symmetry.

Contribution

It introduces a novel mechanism for dynamical topological phase transition in the anisotropic SU(N) Thirring model at infinite energy scales.

Findings

Existence of a topological phase in the isotropic model.

Dynamical topological phase transition occurs at infinite energy in the anisotropic model.

Mechanism of transition involves coupling constants and U(1) symmetry.

Abstract

We study the topological nature of both isotropic and anisotropic SU(N) Thirring model. It is shown that in the isotropic model there exists the special point where the system lives in the topological phase and that in the anisotropic one which is obtained by introducing two coupling constants and has U(1) symmetry, we present a simple mechanism of the dynamical topological phase transition which takes place at the infinite energy scale.