On Gauged Renormalisation Group Transformations of Lattice Fermions

Details On Gauged Renormalisation Group Transformations of Lattice Fermions On Gauged Renormalisation Group Transformations of Lattice Fermions

2007-04-18

arxiv.org/abs/0704.2341v1

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 4 figures and 1 table

Scientific paper

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.

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