Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-11-02
PoSLAT2006:162,2006
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 6 figures, Poster presented at XXIV International Symposium on Lattice Field Theory (Lattice 2006, Tucson, Arizona)
Scientific paper
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 Wilson fermions and the Symanzik improved gluon action for 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. Furthermore, the dependence on the number of colors N and the number of fermionic 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 applied to improved actions.
Constantinou Martha
Panagopoulos Haralambos
Skouroupathis Apostolos
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