# Lattice QCD with the Overlap-Dirac Operator: Its $Λ$ Parameter, and One-Loop Renormalization of Fermionic Currents

Alexandrou, C. and Follana, E. and Panagopoulos, H. and Vicari, E. (2000) Lattice QCD with the Overlap-Dirac Operator: Its $Λ$ Parameter, and One-Loop Renormalization of Fermionic Currents. Nuclear Physics B, 580 . p. 394. ISSN 1873-1562

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## Abstract

We compute the ratio between the scale $\Lambda_L$ associated with a lattice formulation of QCD using the overlap-Dirac operator, and $\Lambda_{MS-bar}$. To this end, the one-loop relation between the lattice coupling $g_0$ and the coupling renormalized in the MS-bar scheme is calculated, using the lattice background field technique. We also compute the one-loop renormalization $Z_\Gamma$ of the two-quark operators $\bar{\psi} \Gamma \psi$, where $\Gamma$ denotes a generic Dirac matrix. Furthermore, we study the renormalization of quark bilinears which are more extended and have better chiral properties. Finally, we present improved estimates of $Z_\Gamma$, coming from cactus resummation and from mean field perturbation theory.

Item Type: Article Imported from arXiv Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA dott.ssa Sandra Faita 11 Feb 2014 14:54 11 Feb 2014 14:54 http://eprints.adm.unipi.it/id/eprint/1901

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