Distribution of Energy-Momentum Tensor around a Static Quark in the Deconfined Phase of SU(3) Yang-Mills Theory

TL;DR

This study investigates the spatial distribution of the energy-momentum tensor around a static quark in the deconfined phase of SU(3) Yang-Mills theory using lattice simulations, revealing non-perturbative effects near the critical temperature.

Contribution

It introduces a lattice-based analysis of the EMT distribution around a static quark in the deconfined phase, highlighting deviations from perturbative predictions near T_c.

Findings

No significant difference between radial and transverse EMT distributions except for sign.

Temporal EMT component differs substantially from spatial components near T_c.

Evidence of thermal screening at long distances and perturbative behavior at short distances.

Abstract

Energy momentum tensor (EMT) characterizes the response of the vacuum as well as the thermal medium under the color electromagnetic fields. We define the EMT by means of the gradient flow formalism and study its spatial distribution around a static quark in the deconfined phase of SU(3) Yang-Mills theory on the lattice. Although no significant difference can be seen between the EMT distributions in the radial and transverse directions except for the sign, the temporal component is substantially different from the spatial ones near the critical temperature $T_c$. This is in contrast to the prediction of the leading-order thermal perturbation theory. The lattice data of the EMT distribution also indicate the thermal screening at long distance and the perturbative behavior at short distance.