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The complex heavy-quark potential with the Gribov-Zwanziger action

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arxiv 2305.16250 v2 pith:TGJ2YZMB submitted 2023-05-25 hep-ph nucl-th

classification hep-phnucl-th
keywords gluonpotentialgribov-zwanzigerheavyone-loopquarkactioncomplex
verification ladder T0 review T1 audit T2 compute T3 formal
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Gribov-Zwanziger prescription in Yang-Mills theory improves the infrared dynamics. In this work, we study the static potential of a heavy quark-antiquark pair with the HTL resummed perturbation method within the Gribov-Zwanziger approach at finite temperature. The real and imaginary parts of the heavy quark complex potential are obtained from the one-loop effective static gluon propagator. The one-loop effective gluon propagator is obtained by calculating the one-loop gluon self-energies containing the quark, gluon, and ghost loop. The gluon and ghost loops are modified in the presence of the Gribov parameter. We also calculate the decay width from the imaginary part of the potential. We also discuss the medium effect of heavy quark potential with the localized action via auxiliary fields.

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Cited by 1 Pith paper

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  1. Spectral sum rules and phase transition in strongly coupled QCD

    hep-th 2024-12 conditional novelty 7.0 of 10

    In the Gribov-Zwanziger framework, the thermal quark spectral function obeys new sum rules and exhibits a coupling-driven transition from three poles to a single pole, with the thermal mass vanishing at a critical cou...

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