Proper static potential in classical lattice gauge theory at finite T

Abstract

We compute the proper real-time interaction potential between a static quark and antiquark in classical lattice gauge theory at finite temperature. Our central result is the determination of the screened real-part of this potential, and we reconfirm the presence of an imaginary part. The real part is intimately related to the back-reaction of the static sources onto the gauge fields, incorporated via Gauss's law. Differences in the treatment of static sources in quantum and classical lattice gauge theory are discussed.

Comments: 24 pages, 10 figures, supplementary material: 2 Mathematica scripts, source code available on Zenodo