3-d Lattice QCD Free Energy to Four Loops

Abstract

We compute the expansion of the 3-d Lattice QCD free energy to four loop order by means of Numerical Stochastic Perturbation Theory. The first and second order are already known and are correctly reproduced. The third and fourth order coefficients are new results. The known logarithmic divergence in the fourth order is correctly identified. We comment on the relevance of our computation in the context of dimensionally reduced finite temperature QCD.

8 pages, 3 figures, latex typeset with JHEP3.cls

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Cited by in corpus (10)

• Plaquette expectation value and gluon condensate in three dimensions
• The leading non-perturbative coefficient in the weak-coupling expansion of hot QCD pressure
• Leading QCD-induced four-loop contributions to the $\beta$-function of the Higgs self-coupling in the SM and vacuum stability
• Plaquette expectation value and lattice free energy of three-dimensional SU(N) gauge theory
• Free Energy and Plaquette expectation value for gluons on the lattice, in three dimensions
• Four-loop renormalization of QCD with a reducible fermion representation of the gauge group: anomalous dimensions and renormalization constants
• Perturbative Wilson loops from unquenched Monte Carlo simulations at weak couplings
• Two and three loops computations of renormalization constants for lattice QCD
• NSPT estimate of the improvement coefficient $c_A$ to two loops
• 3-d lattice SU(3) free energy to four loops