# Exploring non-Abelian gauge theory with energy-momentum tensor; stress, thermodynamics and correlations

## TL;DR

This paper uses lattice simulations and the gradient flow method to analyze the energy-momentum tensor in non-Abelian gauge theories, focusing on stress distribution, thermodynamics, and correlations, with comparisons to Abelian-Higgs models.

## Contribution

It introduces lattice analysis of the EMT via gradient flow to study stress, thermodynamics, and correlations in non-Abelian gauge theories, including comparisons with Abelian-Higgs models.

## Key findings

- Stress tensor distribution in quark-antiquark systems characterized
- Thermodynamic quantities at nonzero temperature analyzed
- Correlation functions of EMT studied and compared

## Abstract

We perform various lattice numerical analyses with the energy-momentum tensor (EMT) defined through the gradient flow. We explore the spatial distribution of the stress tensor in static quark-anti-quark systems and thermodynamic quantities at nonzero temperature, as well as the correlation functions of EMT. The stress tensor distribution is also studied in the Abelian-Higgs model, which is compared with the lattice result.