2007/04/18 by Artan Boriçi, Artan Borici, Borici, Artan · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Quantum Chromodynamics and Particle Interactions #advanced mathematical theories #cond-mat.stat-mech #hep-lat #hep-th
paper · pdf · doi:10.48550/arxiv.0704.2341
10 pages, 4 figures and 1 table
arxiv created 2007/04/18 · arxiv updated 2009/12/01
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.