Heavy quark correlators in Instanton Liquid Model with perturbative corrections

2; (2) Inha University; 3) ((1) National University of Uzbekistan; (3) Institute of Nuclear Physics; AS RUz); M. Musakhanov (1); N. Rakhimov (1); U.T. Yakhshiev (1

Heavy quark correlators in Instanton Liquid Model with perturbative corrections

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arxiv 2006.01545 v2 pith:YV4JLOCH submitted 2020-06-02 hep-ph hep-th

M. Musakhanov (1) , N. Rakhimov (1) , U.T. Yakhshiev (1 , 2 , 3) ((1) National University of Uzbekistan , (2) Inha University , (3) Institute of Nuclear Physics , AS RUz) This is my paper · ORCID

classification hep-phhep-th

keywords heavyinstantonperturbativequarkcorrelatorsgluonliquidmass

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abstract

In the present work we consider the influence on the heavy quark correlators due to the instanton background in the framework of instanton liquid model (ILM) of QCD vacuum by taking into account also the perturbative gluon effects. For a single heavy quark this leads to the mass shift due to the direct-instanton nonperturbative and ILM modified perturbative contributions, respectively. In the heavy quark-antiquark ($Q\bar{Q}$) sector we obtain the potential consisting the direct instanton induced part and the one-gluon exchange (OGE) perturbative part which is screened at large distances due to the nonperturbative dynamics. At the region of interest corresponding to the heavy quark physics the screening effect in OGE can be well approximated by a Yukawa-type potential in terms of the dynamically generated gluon mass. A possible implication of the present studies to the phenomenology of heavy quarkonium is also discussed.

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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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