  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.
