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

Understand

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.