Linear confinement and stress-energy tensor around static quark and anti-quark pair -- Lattice simulation with Yang-Mills gradient flow --

TL;DR

This paper investigates the spatial stress distribution around a static quark-antiquark pair in SU(3) lattice gauge theory, utilizing Yang-Mills gradient flow to accurately define and analyze the stress tensor in the continuum limit.

Contribution

It introduces a novel application of Yang-Mills gradient flow to study the stress tensor distribution around static quarks in lattice gauge theory, revealing detailed transverse structures.

Findings

Detailed transverse stress tensor distribution around static quarks.

Effective use of Yang-Mills gradient flow for stress tensor analysis.

Continuum limit results of the stress distribution.

Abstract

We study the spatial distribution of the stress tensor around static quark-anti-quark pair in SU(3) lattice gauge theory. In particular, we reveal the transverse structure of the stress tensor distribution in detail by taking the continuum limit. The Yang-Mills gradient flow plays a crucial role to make the stress tensor well-defined and derivable from the numerical simulations on the lattice.