A limiting velocity for quarkonium propagation in a strongly coupled plasma via AdS/CFT

Abstract

We study the dispersion relations of mesons in a particular hot strongly coupled supersymmetric gauge theory plasma. We find that at large momentum k the dispersion relations become omega = v_0 k + a + b/k + ..., where the limiting velocity v_0 is the same for mesons with any quantum numbers and depends only on the ratio of the temperature to the quark mass T/m_q. We compute a and b in terms of the meson quantum numbers and T/m_q. The limiting meson velocity v_0 becomes much smaller than the speed of light at temperatures below but close to T_diss, the temperature above which no meson bound states at rest in the plasma are found. From our result for v_0, we find that the temperature above which no meson bound states with velocity v exist is T_diss(v) \simeq (1-v^2)^(1/4) T_diss, up to few percent corrections.We thus confirm by direct calculation of meson dispersion relations a result inferred indirectly in previous work via analysis of the screening length between a static quark and antiquark in a moving plasma. Although we do not do our calculations in QCD, we argue that the qualitative features of the dispersion relation we compute, including in particular the relation between dissociation temperature and meson velocity, may apply to bottomonium and charmonium mesons propagating in the strongly coupled plasma of QCD. We discuss how our results can contribute to understanding quarkonium physics in heavy ion collisions.

57 pages, 12 figures; references added

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Cited by in corpus (15)

• On Holographic Entanglement Entropy and Higher Curvature Gravity
• Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
• Forced Fluid Dynamics from Gravity
• Towards the Gravity Dual of Quarkonium in the Strongly Coupled QCD Plasma
• Charmonium in strongly coupled quark-gluon plasma
• Quarkonium dissociation by anisotropy
• Velocity Dependence of Baryon Screening in a Hot Strongly Coupled Plasma
• Temperature versus acceleration: the Unruh effect for holographic models
• Meson widths from string worldsheet instantons
• Thermal suppression of moving heavy quark pairs in strongly coupled plasma
• Holographic Quenches in a Confined Phase
• Prediction of a Photon Peak in Heavy Ion Collisions
• A systematically study of thermal width of heavy quarkonia in a finite temperature magnetized background from holography
• Holographic imaginary potential of a quark antiquark pair in the presence of gluon condensation
• Dynamics of Heavy Quarks in Strongly Coupled $\mathcal{N}=4$ SYM Plasma