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Probing the Boundary of the Non-Perturbative QCD by Small Size Instantons

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arxiv hep-ph/9909458 v1 pith:XDZN2US3 submitted 1999-09-21 hep-ph

classification hep-ph
keywords smallhiggsinstantonlargenon-perturbativeradiisizesuggest
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abstract

The lattice data on the instanton size distribution suggest an additional O($\rho^2)$ action. The small-$\rho$ effect O($\rho^4)$ predicted by the Operator Product Expansion (OPE) is not observed. Similar deviations are also found for non-perturbative response to a small static color dipoles: it is O(r) not O(r$^2$). We suggest that small instanton radii in the QCD vacuum and small radii of the QCD strings (to which this observation relates) are consequences of the same phenomenon: a very robust dual superconductivity in the QCD vacuum, with relatively large Higgs VEV and surprisingly large Higgs mass.

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Cited by 1 Pith paper

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  1. 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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