The leading non-perturbative coefficient in the weak-coupling expansion of hot QCD pressure

Abstract

Using Numerical Stochastic Perturbation Theory within three-dimensional pure SU(3) gauge theory, we estimate the last unknown renormalization constant that is needed for converting the vacuum energy density of this model from lattice regularization to the MS scheme. Making use of a previous nonperturbative lattice measurement of the plaquette expectation value in three dimensions, this allows us to approximate the first non-perturbative coefficient that appears in the weak-coupling expansion of hot QCD pressure.

Renormalization of infrared contributions to the QCD pressure

“…2). We then performed polynomial extrapolations involving a different number of points and degrees of freedom: the final results we get for B L (1) is [13] B L (1) = 13.8 ± 0.4 , (4.1) which gives, once inserted into eq. (3.2),…”

“…While our determination of the renormalization constant related to the O(g 6 ) contribution to the QCD pressure from the Magnetostatic sector has recently been completed [13], there is still work to do as regards the Electrostatic contributions. It is important to finalise this task, since the EQCD result has a wider range of applicability than the MQCD result alone.…”

Higher-loop gluon and ghost propagators in Landau gauge from numerical stochastic perturbation theory

“…Various applications of NSPT have been described in the past, see e.g. [3,4,5,6]. Here we report on first NSPT studies of the YangMills gluon and ghost propagator in Landau gauge.…”

The perturbative ghost propagator in Landau gauge from numerical stochastic perturbation theory

“…LPT is much more involved than perturbation theory in the continuum, and thus only few results beyond one-loop level are available. There have already been various applications of NSPT in the past: the average plaquette to very high orders in pure Yang-Mills theory to identify the gluon condensate [2], the residual mass for lattice HQEF [3], renormalization factors for bilinear quark operators [4], renormalization factors related to the QCD pressure [5] etc. Relatively new is the application of NSPT to gluon and ghost propagators in Yang-Mills theory [6,7].…”

“…In terms of the (algebra-valued) gauge field variables A = logU, 5) we are enforcing antihermiticity and tracelessness to all orders in g by requiring…”