Topological susceptibility in full QCD with Ginsparg-Wilson fermions

Details Topological susceptibility in full QCD with Ginsparg-Wilson fermions Topological susceptibility in full QCD with Ginsparg-Wilson fermions

2004-02-23

arxiv.org/abs/hep-lat/0402027v1

Phys.Lett. B587 (2004) 157-166

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, no figures

Scientific paper

10.1016/j.physletb.2004.03.010

We show that, if the formula for the topological charge density operator suggested by fermions obeying the Ginsparg-Wilson relation is employed, it is possible to give a precise and unambiguous definition of the topological susceptibility in full QCD, chi_tL, for finite quark masses on the lattice. The lattice expression of chi_tL looks like the formal continuum one, in the sense that no power divergent subtractions are needed for its proper definition. As a consequence, the small mass behaviour of chi_tL leads directly to a multiplicative renormalizable definition of the chiral condensate that does not require any power divergent subtraction.

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