The Lattice Free Energy with Overlap Fermions: A Two-Loop Result

Abstract

We calculate the 2-loop partition function of QCD on the lattice, using the Wilson formulation for gluons and the overlap-Dirac operator for fermions. Direct by-products of our result are the 2-loop free energy and average plaquette. Our calculation serves also as a prototype for further higher loop calculations in the overlap formalism. We present our results as a function of a free parameter $M_0$ entering the overlap action; the dependence on the number of colors $N$ and fermionic flavors $N_f$ is shown explicitly.

arXiv comment10 pages, 5 figures. Final version to appear in Physical Review D. A missing overall factor was inserted in Eq. 12; it affects also Eq. 17

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Cited by in corpus (5)

• QCD with overlap fermions: Running coupling and the 3-loop beta-function
• The Lattice Free Energy of QCD with Clover Fermions, up to Three-Loops
• Higher Loop Results for the Plaquette, Using the Clover and Overlap Actions
• Gauge theories with overlap fermions in an arbitrary representation: Evaluation of the 3-loop beta-function
• Two-loop evaluation of large Wilson loops with overlap fermions: the b-quark mass shift, and the quark-antiquark potential