Quasinormal modes and dispersion relations for quarkonium in a plasma

Abstract

Recent investigations show that the thermal spectral function of heavy $b\bar{b}$ and $c\bar{c}$ vector mesons can be described using holography. These studies consider a bottom up model that captures the heavy flavour spectroscopy of masses and decay constants in the vacuum and is consistently extended to finite temperature. The corresponding spectral functions provide a picture of the dissociation process in terms of the decrease of the quasi-state peaks with temperature. Another related tool that provides important information about the thermal behaviour is the analysis of the quasinormal modes. They are field solutions in a curved background assumed to represent, in gauge/gravity duality, quasi-particle states in a thermal medium. The associated complex frequencies are related to the thermal mass and width. We present here the calculation of quasinormal modes for charmonium and bottomonium using the holographic approach. The temperature dependence of mass and thermal width are investigated. Solutions corresponding to heavy mesons moving into the plasma are also studied. They provide the dependence of the real and imaginary parts of the frequency with the quasi-particle momenta, the so called dispersion relations.

V2: enlarged version with clarifications, more comparison with previous articles and additional references included. 11 figures, 2 tables, 62 references. Version accepted for publication in JHEP

References in corpus (21)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Linear Confinement and AdS/QCD
• Static quark-antiquark pairs at finite temperature
• Color Screening Melts Quarkonium
• Quarkonium correlators and spectral functions at zero and finite temperature
• Charmonium at high temperature in two-flavor QCD
• Can quarkonia survive deconfinement ?
• Hydrodynamics of Holographic Superconductors
• A resummed perturbative estimate for the quarkonium spectral function in hot QCD
• On a Holographic Model for Confinement/Deconfinement
• Bottomonium above deconfinement in lattice nonrelativistic QCD
• Mass Shift and Width Broadening of J/psi in hot gluonic plasma from QCD Sum Rules
• Critical behavior of charmonia across the phase transition: A QCD sum rule approach
• Heavy meson dissociation in a plasma with magnetic fields
• Holographic model for charmonium dissociation
• Heavy quarkonium in a holographic QCD model
• Thermal modification of bottomonium spectra from QCD sum rules with the maximum entropy method
• Quasinormal modes of black holes in anti-de Sitter space: a numerical study of the eikonal limit
• In-medium modification of P-wave charmonia from QCD sum rules
• From quasinormal modes of rotating black strings to hydrodynamics of a moving CFT plasma
• Holographic quark gluon plasma with flavor

Cited by in corpus (5)

• Configuration Entropy for Quarkonium in a Finite Density Plasma
• Configuration entropy and stability of bottomonium radial excitations in a plasma with magnetic fields
• Rotation effect on the spectral function of heavy vector mesons in holographic QCD
• Holography and the internal structure of charmonium
• Holographic bottomonium formation in a cooling strong-interaction medium at finite baryon density