Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-09-04
Nucl.Phys. B580 (2000) 394
Physics
High Energy Physics
High Energy Physics - Lattice
3 pages, LATeX with 2 PS figure files. Talk presented at Confinement IV, Vienna, July 2000. Longer write-ups in: hep-lat/99091
Scientific paper
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.
Alexandrou Constantia
Follana Eduardo
Panagopoulos Haralambos
Vicari Ettore
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