The Lattice Free Energy of QCD with Clover Fermions, up to Three-Loops

Details The Lattice Free Energy of QCD with Clover Fermions, up to Three-Loops The Lattice Free Energy of QCD with Clover Fermions, up to Three-Loops

2007-10-20

arxiv.org/abs/0710.3856v1

Phys.Lett.B659:252-259,2008

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, 5 figures, 8 tables

Scientific paper

10.1016/j.physletb.2007.11.064

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 - Wolhert (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 lattice, with subsequent extrapolation to infinite size. The results are presented as a function of the fermion mass m, for any SU(N_c) 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.

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