The Critical Hopping Parameter in O(a) improved Lattice QCD

Details The Critical Hopping Parameter in O(a) improved Lattice QCD The Critical Hopping Parameter in O(a) improved Lattice QCD

2001-08-16

arxiv.org/abs/hep-lat/0108021v2

Phys.Rev. D65 (2002) 014511

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 2 EPS figures. The only change with respect to the original version is inclusion of the standard formulae for the ga

Scientific paper

10.1103/PhysRevD.65.014511

We calculate the critical value of the hopping parameter, $\kappa_c$, in O(a) improved Lattice QCD, to two loops in perturbation theory. We employ the Sheikholeslami-Wohlert (clover) improved action for Wilson fermions. The quantity which we study is a typical case of a vacuum expectation value resulting in an additive renormalization; as such, it is characterized by a power (linear) divergence in the lattice spacing, and its calculation lies at the limits of applicability of perturbation theory. The dependence of our results on the number of colors $N$, the number of fermionic flavors $N_f$, and the clover parameter $c_{SW}$, is shown explicitly. We compare our results to non perturbative evaluations of $\kappa_c$ coming from Monte Carlo simulations.

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