Perturbative renormalization of the electric field correlator

Abstract

The momentum diffusion coefficient of a heavy quark in a hot QCD plasma can be extracted as a transport coefficient related to the correlator of two colour-electric fields dressing a Polyakov loop. We determine the perturbative renormalization factor for a particular lattice discretization of this correlator within Wilson's SU(3) gauge theory, finding a ~12% NLO correction for values of the bare coupling used in the current generation of simulations. The impact of this result on existing lattice determinations is commented upon, and a possibility for non-perturbative renormalization through the gradient flow is pointed out.

15 pages. v2: published version

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• Lattice gauge theory computation of the static force
• Mass-suppressed effects in heavy quark diffusion
• The static force from generalized Wilson loops using gradient flow
• 1-loop matching of a thermal Lorentz force
• Temperature Dependence of Heavy Quark Diffusion from (2+1)-flavor Lattice QCD
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• Axial $U(1)$ anomaly in a gravitational field via the gradient flow
• Heavy quark momentum diffusion coefficient from the lattice