On Gauged Renormalisation Group Transformations of Lattice Fermions
High Energy Physics - Lattice
2007-05-23 v1 Statistical Mechanics
High Energy Physics - Theory
Abstract
We construct a hierarchy of lattice fermions, where the coarser lattice Dirac operator is the Schur complement of the block UL decomposition of the finer lattice operator. We show that the construction is an exact gauged renormalisation group transformation of the lattice action. In particular, using such a transformation and the QCDLAB tool, it is shown how to implement the Ginsparg-Wilson strategy for chiral fermions in the presence of a dynamical gauge field. The scheme allows, for the first time, a full multigrid algorithm for lattice quarks.
Keywords
Cite
@article{arxiv.0704.2341,
title = {On Gauged Renormalisation Group Transformations of Lattice Fermions},
author = {Artan Borici},
journal= {arXiv preprint arXiv:0704.2341},
year = {2007}
}
Comments
10 pages, 4 figures and 1 table