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Topological effects in QCD and the problem of short-distance singularities

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arxiv hep-th/0404034 v2 pith:S73KHVJY submitted 2004-04-05 hep-th hep-lat

classification hep-thhep-lat
keywords topologicalchargedistributionfunctionsmomentsshort-distancesingularitiescertain
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The topological susceptibility and the higher moments of the topological charge distribution in QCD are expressed through certain n-point functions of the scalar and pseudo-scalar quark densities at vanishing momenta, which are free of short-distance singularities. Since the normalization of the correlation functions is determined by the non-singlet chiral Ward identities, these formulae provide an unambiguous regularization-independent definition of the moments and thus of the charge distribution.

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  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.

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