We compute non-perturbatively the renormalization constants of quark bilinears on the lattice in the quenched approximation at three values of the coupling beta=6/g_0^2=6.0,6.2,6.4 using both the Wilson and the tree-level improved SW-Clover fermion action. We perform a Renormalization Group analysis at the next-to-next-to-leading order and compute Renormalization Group invariant values for the constants. The results are applied to obtain a fully non-perturbative estimate of the vector and pseudoscalar decay constants.
Gimenez, V., Giusti, L., Rapuano, F., Talevi, M. (1998). Nonperturbative renormalization of quark bilinears. NUCLEAR PHYSICS. B, 531(1-3), 429-445 [10.1016/S0550-3213(98)00582-3].
Nonperturbative renormalization of quark bilinears
GIUSTI, LEONARDO;RAPUANO, FEDERICO;
1998
Abstract
We compute non-perturbatively the renormalization constants of quark bilinears on the lattice in the quenched approximation at three values of the coupling beta=6/g_0^2=6.0,6.2,6.4 using both the Wilson and the tree-level improved SW-Clover fermion action. We perform a Renormalization Group analysis at the next-to-next-to-leading order and compute Renormalization Group invariant values for the constants. The results are applied to obtain a fully non-perturbative estimate of the vector and pseudoscalar decay constants.
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