Speaker
Description
High-temperature QCD can be described, through dimensional reduction,
by a 3D effective field theory. Electrostatic QCD consists of a
gauged-scalar theory, while magnetostatic QCD of a pure 3D gauge
theory. The use of dimensionally reduced effective theories to
predict 4D observables relies on the matching between the 3D and 4D
theories, which is known only perturbatively, and is thought to be
highly non-trivial due to the behavior of perturbation theory at
finite temperature. We have devised a strategy to perform the first
non-perturbative computation of the matching, for which we consider
gradient flow quantities in a finite volume setup, allowing us to keep
all lattice systematics under control, and perform the matching over a
large range of temperatures with high precision. As a first step in
this study, we investigate the non-perturbative matching between
high-temperature pure gauge theory and MQCD for which we report the
corresponding results.