Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-11-04
PoSLAT2007:065,2007
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 3 figures, proceedings of XXV International Symposium on Lattice Field Theory, 30 July - 4 August 2007, Regensburg, G
Scientific paper
Lattice chiral fermions are synonymous to the Ginsparg-Wilson relation. Indeed, this relation is satisfied by the overlap, domain wall and perfect action fermion kernel. In a recent work we have shown that it is possible to take a direct RG approach for fermions in the presence of gauge fields. This is due to an algebraically implicit blocking technique which yields a Schur-complementary coarse Dirac operator. Using a Schur complement approximation which is stable and regular, the scheme can be iterated to the fixed point. In this talk, we elaborate more on the direct RG approach and show how to get highly improved chiral fermions on the coarse lattice with the gauge fields remaining on the fine lattice. We give numerical examples in the case of lattice QCD using QCDLAB {\tt http://phys.fshn.edu.al/qcdlab.html}
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