Full O(a) improvement in EQCD

Abstract

EQCD is a 3D bosonic theory containing SU(3) and an adjoint scalar, which efficiently describes the infrared, nonperturbative sector of hot QCD and which is highly amenable to lattice study. We improve the matching between lattice and continuum EQCD by determining the final unknown coefficient in the O(a) matching, an additive scalar mass renormalization. We do this numerically by using the symmetry-breaking phase transition point of the theory as a line of constant physics. This prepares the ground for a precision study of the transverse momentum diffusion coefficient C(qperp) within this theory. As a byproduct, we provide an updated version of the EQCD phase diagram.

arXiv comment21 pages including 2 appendices, 7 figures, and 7 tables, minor changes, matches the published version

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Cited by in corpus (10)

• First-order electroweak phase transitions: a nonperturbative update
• Non-perturbative determination of collisional broadening and medium induced radiation in QCD plasmas
• Transverse momentum broadening from the lattice
• Splitting rates in QCD plasmas from a non-perturbative determination of the momentum broadening kernel $C(q_{\perp })$
• The nonperturbative contribution to asymptotic masses
• The force-force-correlator in hot QCD perturbatively and from the lattice
• Infrared physics of the 3D SU(2) adjoint Higgs model at the crossover transition
• Non-perturbative phenomena in jet modification
• High order quark number susceptibilities in hot QCD from lattice EQCD
• Full $\mathcal{O}(a)$ improvement of EQCD