Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-01-21
Phys.Rev.D77:014513,2008
Physics
High Energy Physics
High Energy Physics - Lattice
20 pages, 8 figures, 14 tables. Phys. Rev. D77, Number 1 (2008)
Scientific paper
10.1103/PhysRevD.77.014513
We calculate the critical value of the hopping parameter, $\kappa_c$, in Lattice QCD, up to two loops in perturbation theory. We employ the Sheikholeslami-Wohlert (clover) improved action for fermions and the Symanzik improved gluon action with 4- and 6-link loops. 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. Our results are polynomial in $c_{SW}$ (clover parameter) and cover a wide range of values for the Symanzik coefficients $c_i$. The dependence on the number of colors N and the number of fermion flavors $N_f$ is shown explicitly. In order to compare our results to non perturbative evaluations of $\kappa_c$ coming from Monte Carlo simulations, we employ an improved perturbation theory method for improved actions.
Constantinou Martha
Panagopoulos Haralambos
Skouroupathis Apostolos
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