# The temperature dependence of the chiral condensate in the Schwinger model with Matrix Product States

## TL;DR

This paper uses tensor network methods, specifically Matrix Product States, to study the temperature dependence of the chiral condensate in the 1-flavour Schwinger model, achieving results consistent with analytical predictions.

## Contribution

It demonstrates the application of tensor network techniques to finite-temperature lattice gauge theories, providing a new computational approach for this class of problems.

## Key findings

- Chiral condensate computed at finite temperature matches analytical results.
- Tensor network methods are effective for studying lattice gauge theories.
- Results are consistent with continuum extrapolation in the high temperature limit.

## Abstract

We present our recent results for the tensor network (TN) approach to lattice gauge theories. TN methods provide an efficient approximation for quantum many-body states. We employ TN for one dimensional systems, Matrix Product States, to investigate the 1-flavour Schwinger model. In this study, we compute the chiral condensate at finite temperature. From the continuum extrapolation, we obtain the chiral condensate in the high temperature region consistent with the analytical calculation by Sachs and Wipf.