QCD with overlap fermions: Running coupling and the 3-loop beta-function

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dc.creatorConstantinou, M.
dc.creatorPanagopoulos, H.
dc.date2007-09-27
dc.date.accessioned2026-07-07T11:19:36Z
dc.date.available2026-07-07T11:19:36Z
dc.descriptionWe calculate the relation between the bare coupling constant g_0 and the MSbar-renormalized coupling g_MS: g_0 = Z_g(g_0,a μ) g_MS, to 2 loops in perturbation theory. We employ the standard Wilson action for gluons and the overlap action for fermions. For convenience, we have worked with the background field technique, which only requires evaluation of 2-point Green's function for the problem at hand. 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 in the allowed range of rho (0 < rho < 2), focusing on values which are being used most frequently in simulations. Knowledge of Z_g allows us to derive the 3-loop coefficient of the bare beta-function (beta_L(g_0)) which, unlike the 1- and 2-loop coefficients, is regularization-dependent. The nontrivial dependence of Z_g and of beta_L(g_0) on rho is plotted for various choices of N, N_f.
dc.description20 pages, 6 figures, 2 Tables
dc.identifierhttps://arxiv.org/abs/0709.4368
dc.identifierhttp://arxiv.org/abs/0709.4368
dc.identifierPhys.Rev.D76:114504,2007
dc.identifierdoi:10.1103/PhysRevD.76.114504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193740
dc.subjectHigh Energy Physics - Lattice
dc.titleQCD with overlap fermions: Running coupling and the 3-loop beta-function
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