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, 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.

arXiv comment11 pages, no figures

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• Topological susceptibility at $T>T_{\mathrm{c}}$ from master-field simulations of the SU(3) gauge theory
• Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow
• Positivity and topology in lattice gauge theory
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• The Reality of the Fundamental Topological Structure in the QCD Vacuum
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• Topological Susceptibility of the 2d O(3) Model under Gradient Flow
• Topological susceptibility from twisted mass fermions using spectral projectors
• Topological susceptibility for the SU(3) Yang--Mills theory
• Topology in the 2d Heisenberg Model under Gradient Flow
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• Topology of the O(3) non-linear sigma model under the gradient flow