Pure gauge flux tube and running coupling from EMT at high temperature

Abstract

In this work, we measure the flux tube from the energy-momentum tensor around the static quark and antiquark in SU(3) pure gauge theory at high temperatures. The gradient flow method has been used to formulate the energy-momentum tensor on the lattice and increase the signal-to-noise ratio. In this study, we have tried to compute the running coupling $\alpha _s$ from the energy-momentum tensor in the flux tube for the $Q\bar{Q}$ pair. From the dependence of $\alpha _s$ on temperature and interquark distance, the maximum value of $\alpha _s$ at a certain distance for each temperature has been found, and the distance was inversely proportional to temperature $R_{max}=0.5 fm \cdot T_c/T$. Also, we found that between the $R_{max}$ and flux tube disappearance distance $R_{screen}$ has weak linear dependence. We also showed that the flux tube structure completely disappeared from the stress-tensor distribution around the quark and antiquark at this distance.