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 $$ \mathcal{N} $$ 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.

Quarkonium Production in Heavy Ion Collisions: From Open Quantum System to Transport Equation

“…Future work should calculate the chromomagnetic correlators in both weakly-coupled and strongly-coupled QGP, as have been done for the chromoelectric correlators by finite temperature perturbation theory [43] and AdS/CFT correspondence [115,116]. Some preliminary results via lattice QCD methods can be found in Ref.…”