Investigation of the 1+1 dimensional Thirring model using the method of matrix product states

TL;DR

This paper explores the phase structure of the (1+1)D massive Thirring model using matrix product states, providing numerical evidence of a Kosterlitz-Thouless transition through entanglement and correlator analysis.

Contribution

It introduces a novel application of matrix product states to study the non-thermal phase transitions in the Thirring model.

Findings

Evidence of a Kosterlitz-Thouless phase transition

Analysis of entanglement entropy and fermion correlators

Observation of chiral condensate behavior

Abstract

We present preliminary results of a study on the non-thermal phase structure of the (1+1) dimensional massive Thirring model, employing the method of matrix product states. Through investigating the entanglement entropy, the fermion correlators and the chiral condensate, it is found that this approach enables us to observe numerical evidence of a Kosterlitz-Thouless phase transition in the model.