The lattice free energy of QCD with clover fermions, up to three-loops
Date
2008Source
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy PhysicsVolume
659Issue
1-2Pages
252-259Google Scholar check
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We calculate the perturbative value of the free energy in Lattice QCD, up to three loops. Our calculation is performed using Wilson gluons and the Sheikholeslami-Wohlert (clover) improved action for fermions. The free energy is directly related to the average plaquette. To carry out the calculation, we compute all relevant Feynman diagrams up to 3 loops, using a set of automated procedures in Mathematica numerical evaluation of the resulting loop integrals is performed on finite lattices, with subsequent extrapolation to infinite size. The results are presented as a function of the fermion mass m, for any S U (Nc) gauge group, and for an arbitrary number of fermion flavors. In order to enable independent comparisons, we also provide the results on a per diagram basis, for a specific mass value. © 2007 Elsevier B.V. All rights reserved.