Full $\mathcal{O}(a)$ improvement of 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 $\mathcal{O}(a)$ matching, an additive scalar mass renormalization. We do this numerically by using the symmetry-breaking phase transition line of EQCD as a line of constant physics. This prepares the ground for a precision study of the transverse momentum diffusion coefficient $C(q_{\perp })$ within this theory.

arXiv comment7 pages, 4 figures, proceedings of the 37th Annual International Symposium on Lattice Field Theory, 16-22 June 2019, Wuhan, China

References in corpus (8)

• Full result for the QCD equation of state with 2+1 flavors
• The pressure of hot QCD up to g^6 ln(1/g)
• Two-loop QCD gauge coupling at high temperatures
• Static correlation lengths in QCD at high temperatures and finite densities
• O(g) plasma effects in jet quenching
• O(a) errors in 3-D SU(N) Higgs theories
• The diagonal and off-diagonal quark number susceptibility of high temperature and finite density QCD
• Full O(a) improvement in EQCD