1-loop matching of a thermal Lorentz force

Abstract

Studying the diffusion and kinetic equilibration of heavy quarks within a hot QCD medium profits from the knowledge of a coloured Lorentz force that acts on them. Starting from the spatial components of the vector current, and carrying out two matching computations, one for the heavy quark mass scale ($M$) and another for thermal scales ($\sqrt{MT}$, $T$), we determine 1-loop matching coefficients for the electric and magnetic parts of a Lorentz force. The magnetic part has a non-zero anomalous dimension, which agrees with that extracted from two other considerations, one thermal and the other in vacuum. The matching coefficient could enable a lattice study of a colour-magnetic 2-point correlator.

21 pages. v2: clarifications added

References in corpus (6)

• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Lattice QCD constraints on the heavy quark diffusion coefficient
• Three-Loop Chromomagnetic Interaction in HQET
• Heavy quark momentum diffusion from the lattice using gradient flow
• Mass-suppressed effects in heavy quark diffusion
• Non-perturbative renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory and the B* - B mass splitting

Cited by in corpus (6)

• Quark Mass Dependence of Heavy Quark Diffusion Coefficient from Lattice QCD
• Non-Abelian Electric Field Correlator at NLO for Dark Matter Relic Abundance and Quarkonium Transport
• Heavy quark diffusion coefficient with gradient flow
• Lattice study of a magnetic contribution to heavy quark momentum diffusion
• Lattice $B$-field correlators for heavy quarks
• Temperature Dependence of Heavy Quark Diffusion from (2+1)-flavor Lattice QCD