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

Abstract

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.

11 pages, 5 figures, v2, published version

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Cited by in corpus (5)

• Shear and bulk viscosity of quark-gluon plasma with Gribov gluons and quasiparticle quarks
• Heavy quark dynamics via Gribov-Zwanziger approach
• Electromagnetic Debye mass within Gribov-Zwanziger action
• Quarkonium in a QCD medium with momentum-dependent relaxation time
• Anisotropy effects on heavy quark dynamics in Gribov modified gluon plasma