Topological susceptibility in full QCD with Ginsparg-Wilson fermions
Abstract
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, chitL, for finite quark masses on the lattice. The lattice expression of chitL 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 chitL leads directly to a multiplicative renormalizable definition of the chiral condensate that does not require any power divergent subtraction.
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