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Instanton Content of the SU(3) Vacuum

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arxiv hep-lat/9806026 v1 pith:FHC4GNAY submitted 1998-06-24 hep-lat

classification hep-lat
keywords topologicalcontentinstantonmappingvacuumdistributionstepsagreement
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abstract

We study the topological content of the SU(3) vacuum using the renormalization group (RG) mapping method. RG mapping is a simple smoothing algorithm, in which a series of APE-smearing steps are done while the topological content of the configuration is carefully monitored. This monitoring process makes it possible to separate true topological objects from vacuum fluctuations and allows an extrapolation to zero smearing steps. Using RG mapping we have measured the instanton distribution and topological susceptibility for SU(3) gauge theory. We arrive at a value for the topological susceptibily, ${\chi}^{1/4}$ of 203(5) MeV. The size distribution peaks at $\rho=0.3$fm, and is in good agreement with the prediction of instanton liquid models.

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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. Weak Scale Triggers in the SMEFT

    hep-ph 2025-12 unverdicted novelty 6.0 of 10

    No weak scale triggers exist in the SMEFT up to dimension six (and likely eight) that can solve the hierarchy problem far above the weak scale.

  2. Generic framework for non-perturbative QCD in light hadrons

    hep-ph 2025-01 conditional novelty 2.0 of 10

    The instanton liquid model, with instanton size, density, and quark mass as its main inputs, is presented as a generic framework for light-hadron vacuum condensates, matrix elements, and form factors.

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