Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-11-12
PoSLAT2007:247,2007
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 1 table, 4 figures. Presented at the XXV International Symposium on Lattice Field Theory, Regensburg, Germany
Scientific paper
We briefly report our calculation of the 2-loop coefficient of the coupling constant renormalization function Z_g in lattice perturbation theory. The quantity under study is defined through g_0 = Z_g g, where g_0 (g) is the bare (renormalized) coupling constant. The 2-loop expression for Z_g can be directly related to the 3-loop bare beta-function beta_L(g_0). Our calculation is performed using overlap fermions and Wilson gluons, and the background field technique has been chosen for convenience. Our results depend explicitly on the number of fermion flavors (N_f) and colors (N). Since the dependence of Z_g on the overlap parameter rho cannot be extracted analytically, we tabulate our results for different values of rho in the allowed range (0
Constantinou Martha
Panagopoulos Haralambos
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