Lattice QCD with the Overlap-Dirac Operator: Its $\Lambda$ Parameter,   and One-Loop Renormalization of Fermionic Currents
  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. 
C. Alexandrou (1), E. Follana (1), H. Panagopoulos (1), E. Vicari (2)   ((1) Univ. of Cyprus, (2) Univ. of Pisa)