Progress on perfect lattice actions for QCD

https://doi.org/10.1016/S0920-5632(96)00818-3Get rights and content
Under a Creative Commons license
open archive

Abstract

We describe a number of aspects in our attempt to construct an approximately perfect lattice action for QCD. Free quarks are made optimally local on the whole renormalized trajectory and their couplings are then truncated by imposing 3-periodicity. The spectra of these short ranged fermions are excellent approximations to continuum spectra. The same is true for free gluons. We evaluate the corresponding perfect quark-gluon vertex function, identifying in particular the “perfect clover term”. First simulations for heavy quarks show that the mass is strongly renormalized, but again the renormalized theory agrees very well with continuum physics. Furthermore we describe the multigrid formulation for the non-perturbative perfect action and we present the concept of an exactly (quantum) perfect topological charge on the lattice.

Cited by (0)

Based on two talks presented by W.B. and S.C. and two posters presented by R.B. and U.-J.W. Work supported by U.S. Department of Energy (D.O.E.) under cooperative research agreement DE-FC02-94ER40818.