Chromoelectric field correlator for quarkonium transport in the strongly coupled $\mathcal{N}=4$ Yang-Mills plasma from AdS/CFT

Abstract

Previous studies have shown that a gauge-invariant correlation function of two chromoelectric fields connected by a straight timelike adjoint Wilson line encodes crucial information about quark-gluon plasma (QGP) that determines the dynamics of small-sized quarkonium in the medium. Motivated by the successes of holographic calculations to describe strongly coupled QGP, we calculate the analog gauge-invariant correlation function in strongly coupled $\mathcal{N}=4$ supersymmetric Yang-Mills theory at finite temperature by using the AdS/CFT correspondence. Our results indicate that the transition processes between bound and unbound quarkonium states are suppressed in strongly coupled plasmas, and moreover, the leading contributions to these transition processes vanish in both the quantum Brownian motion and quantum optical limits of open quantum system approaches to quarkonia.

82 pages, 11 figures

References in corpus (23)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Calculating the Jet Quenching Parameter from AdS/CFT
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Static quark-antiquark pairs at finite temperature
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• An AdS/CFT Calculation of Screening in a Hot Wind
• Holographic melting and related properties of mesons in a quark gluon plasma
• The Energy of a Moving Quark-Antiquark Pair in an N=4 SYM Plasma
• Heavy quark master equations in the Lindblad form at high temperatures
• Evidence for charmonium generation at the phase boundary in ultra-relativistic nuclear collisions
• Real-time gauge/gravity duality and ingoing boundary conditions
• Open Quantum Systems for Quarkonia
• Static quark anti-quark interactions at non-zero temperature from lattice QCD
• On the velocity and chemical-potential dependence of the heavy-quark interaction in N=4 SYM plasmas
• Stability of strings dual to flux tubes between static quarks in N=4 SYM
• Non-Abelian Electric Field Correlator at NLO for Dark Matter Relic Abundance and Quarkonium Transport
• Simulation of Lindblad equations for quarkonium in the quark-gluon plasma
• Gauge Invariance of Non-Abelian Field Strength Correlators: the Axial Gauge Puzzle
• Quarkonium propagation in the quark gluon plasma
• $\mathcal{N}=4$ supersymmetric Yang-Mills thermodynamics to order ${\lambda }^2$
• Renormalized Field Strength Correlators in SU(N) Gauge Theory and Gauge/String Duality

Cited by in corpus (7)

• Real Time Quarkonium Transport Coefficients in Open Quantum Systems from Euclidean QCD
• Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
• Generalized Gluon Distribution for Quarkonium Dynamics in Strongly Coupled $\mathcal{N}=4$ Yang-Mills Theory
• Quarkonium Polarization in Medium from Open Quantum Systems and Chromomagnetic Correlators
• Dynamics of Heavy Quarks in Strongly Coupled $\mathcal{N}=4$ SYM Plasma
• Non-thermal distributions of charm and charmonium in relativistic heavy-ion collisions
• Non-Markovian dynamics of bottomonia in the QGP