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

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.

arXiv comment12 pages, 12 figures

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• Energy-momentum tensor in QCD: nucleon mass decomposition and mechanical equilibrium
• $t\to 0$ extrapolation function in SF$t$X method for the energy-momentum tensor
• Applications of the Perturbative Gradient Flow
• Single static-quark system above $T_c$ investigated by energy-momentum tensor in SU(3) Yang-Mills theory