Medium evolution of a static quark-antiquark pair in the large $N_c$ limit

Abstract

We study the transitions between the different color states of a static quark-antiquark pair, singlet and octet, in a thermal medium. This is done non-perturbatively exploiting the infinite mass limit of QCD. This study is interesting because it can be used for future developments within the framework of Effective Field Theories (EFTs) and because it can be combined with other techniques, like lattice QCD or AdS/CFT, to gain non-perturbative information about the evolution of quarkonium in a medium. We also study the obtained expressions in the large $N_c$ limit. This allows us to learn lessons that are useful to simplify phenomenological models of quarkonium in a plasma.

32 pages, 14 figures. Matches published version

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• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Static quark-antiquark pairs at finite temperature
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• Effective field theory for non-relativistic hydrodynamics
• Interaction potential between heavy $Q\bar{Q}$ in color octet configuration in QGP

Cited by in corpus (7)

• Open Quantum Systems for Quarkonia
• Simulation of Lindblad equations for quarkonium in the quark-gluon plasma
• Phenomenological study of quarkonium suppression and the impact of the energy gap between singlets and octets
• Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories
• A potential approach to the $X(3872)$ thermal behavior
• A simple model to include initial-state and hot-medium effects in the computation of quarkonium nuclear modification factor
• An Effective Field Theory study of medium heavy quark evolution