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Topological susceptibility in full QCD with Ginsparg-Wilson fermions

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arxiv hep-lat/0402027 v1 pith:M75RGCIG submitted 2004-02-23 hep-lat hep-th

classification hep-lathep-th
keywords definitiontopologicaldivergentfermionsfullginsparg-wilsonlatticepower
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On cusps in the $\eta'$ potential

    hep-th 2025-08 conditional novelty 7.0 of 10

    The eta-prime potential must have at least gcd(N,N_f) cusped branches when gcd(N,N_f)>1, and s-confinement is only possible when gcd(N,N_f)=1.

  2. Aspects of the chiral crossover transition in (2+1)-flavor QCD with M\"{o}bius domain-wall fermions

    hep-lat 2024-11 conditional novelty 5.0 of 10

    On an Nτ=8 MDWF lattice, the non-singlet chiral symmetry restores at Tpc=158.7 MeV, while the UA(1) singlet symmetry remains effectively broken up to 186 MeV, as inferred from the temperature dependence of the topolog...

  3. Topological susceptibility and excess kurtosis in SU(3) Yang-Mills theory

    hep-lat 2025-01 unverdicted novelty 4.0 of 10

    High-precision lattice computation yields χ_top^{1/4} = 198.1(0.7)(2.7) MeV for SU(3) Yang-Mills after continuum and infinite-volume extrapolation from seven spacings and volumes.

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