Speaker
Description
High-temperature QCD can be described, through dimensional reduction,
by a series of 3D effective field theories. Electrostatic QCD consists
of a gauged-scalar theory, while magnetostatic QCD (MQCD) 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, at present, is only known perturbatively. We have
devised a strategy to perform a fully non-perturbative matching of QCD
and MQCD via lattice simulations. This allows us to assess the
accuracy and validity of the effective theory without perturbative
uncertainties coming from the matching. In this talk I will explain
how the matching is performed over a wide range of temperatures with
high precision, while keeping all lattice systematics under control.
As a first step in this study, we investigate the matching between the
finite temperature pure gauge theory and its 3D counterpart, for which
I report some results.