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Screening of the topological charge in a correlated instanton vacuum

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arxiv hep-lat/9409020 v2 pith:MNH3QXKH submitted 1994-09-23 hep-lat

E.V. Shuryak , J.J.M. Verbaarschot This is my paper · ORCID
classification hep-lat
keywords screeningtopologicalchargecorrelatedfermionsgluonicinstantonscalar
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abstract

Screening of the topological charge due to he fermion-induced interactions is an important phenomenon, closely related with the resolution of the strong CP and U(1) problems. We study the mechanism of such screening in a 'correlated instanton vacuum', as opposed to the 'random' one. Both scalar and pseudoscalar gluonic correlators are analyzed by means of an observable that minimizes finite size effects. Screening of the topological charge is established. This allows us to calculate the $\eta'$ mass without having to invert the Dirac operator. We suggest that this method might be used in lattice QCD calculations as well. Our results for the screening of the topological charge are in agreement with the chiral Ward identities, and the scalar gluonic correlator satisfies a low energy theorem first derived by Novikov et al. \cite{Novikov-etal}. We also propose to evaluate the topological susceptibility in the Witten-Veneziano formula not in an infinite box in an world $without$ fermions but in an infinitesimal box in a world $with$ fermions.

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Cited by 2 Pith papers

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

  1. Anomalies, Topology, and Hadron Structure in QCD

    hep-ph 2026-06 conditional novelty 3.0 of 10

    A review unifying the QCD axial and trace anomalies with vacuum topology, arguing that the proton spin puzzle and the U(1)_A problem are both controlled by topological screening encoded in the susceptibility slope χ′(0).

  2. A Fluctuation Theory of Topological Susceptibility

    hep-lat 2019-08 reject novelty 3.0 of 10

    The claim that ChPT topological susceptibility fluctuations are always non-interacting relies on a determinant that the paper's own equations show to be nonzero, and the slab sub-volume analysis contains further algeb...

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