Thermal Fluctuation and Meson Melting: Holographic Approach

Abstract

We use gauge/gravity duality to investigate the effect of thermal fluctuations on the dissociation of the quarkonium meson in strongly coupled $(3+1)$-dimensional gauge theories. This is done by studying the instability and probable first order phase transition of a probe D7-brane in the dual gravity theory. We explicitly show that for the Minkowski embeddings with their tips close to the horizon in the background, the long wavelength thermal fluctuations lead to an imaginary term in their action signaling an instability in the system. Due to this instability, a phase transition is expected. On the gauge theory side, it indicates that the quarkonium mesons are not stable and dissociate in the plasma. Identifying the imaginary part of the probe barne action with the thermal width of the mesons, we observe that the thermal width increases as one decreases the mass of the quarks. Also keeping the mass fixed, thermal width increases by temperature as expected.

18 pages, 7 figures

References in corpus (7)

• J/psi Production vs Centrality, Transverse Momentum, and Rapidity in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Holographic Phase Transitions with Fundamental Matter
• Static quark-antiquark potential in the quark-gluon plasma from lattice QCD
• Heavy quarkonium in any channel in resummed hot QCD
• A Topology-Changing Phase Transition and the Dynamics of Flavour
• Dissociation of Quarkonium in a Complex Potential
• Meson Life Time in the Anisotropic Quark-Gluon Plasma

Cited by in corpus (4)

• The melting of charmonium in a magnetic field from an effective AdS/QCD model
• The Imaginary Potential and Thermal Width of Moving Quarkonium from Holography
• Radiation Gauge in AdS/QCD: inadmissibility and implications on spectral functions in the deconfined phase
• Meson Thermalization by Baryon Injection in D4/D6 Model