Retarded correlators of bulk scalars and Wilson-line displacement operators exhibit bouncing singularities at t_c=β/2(1+i) with matching WKB and asymptotic OPE data, implying a universal high-frequency factorization.
Wilson loops in heavy ion collisions and their calculation in AdS/CFT
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abstract
Expectation values of Wilson loops define the nonperturbative properties of the hot medium produced in heavy ion collisions that arise in the analysis of both radiative parton energy loss and quarkonium suppression. We use the AdS/CFT correspondence to calculate the expectation values of such Wilson loops in the strongly coupled plasma of N=4 super Yang-Mills (SYM) theory, allowing for the possibility that the plasma may be moving with some collective flow velocity as is the case in heavy ion collisions. We obtain the N=4 SYM values of the jet quenching parameter $\hat q$, which describes the energy loss of a hard parton in QCD, and of the velocity-dependence of the quark-antiquark screening length for a moving dipole as a function of the angle between its velocity and its orientation. We show that if the quark-gluon plasma is flowing with velocity v_f at an angle theta with respect to the trajectory of a hard parton, the jet quenching parameter $\hat q$ is modified by a factor gamma_f(1-v_f cos theta), and show that this result applies in QCD as in N=4 SYM. We discuss the relevance of the lessons we are learning from all these calculations to heavy ion collisions at RHIC and at the LHC. Furthermore, we discuss the relation between our results and those obtained in other theories with gravity duals, showing in particular that the ratio between $\hat q$ in any two conformal theories with gravity duals is the square root of the ratio of their central charges. This leads us to conjecture that in nonconformal theories $\hat q$ defines a quantity that always decreases along renormalization group trajectories and allows us to use our calculation of $\hat q$ in N=4 SYM to make a conjecture for its value in QCD.
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2026 4representative citing papers
Kolmogorov dynamics for heavy quarks in hot plasma shows significantly delayed large-momentum equilibration compared to Fokker-Planck with matched drag, due to rare low-momentum-loss events.
Exact and perturbative drag forces are derived for heavy quarks in holographic plasmas dual to charged rotating 5D black holes, with regularity conditions fixing integration constants and yielding finite anisotropic corrections.
Holographic calculation in a spinning Myers-Perry black brane shows that higher temperature or rotation parameter a shortens light-quark stopping distance and increases instantaneous energy loss, with stronger anisotropy for transverse motion.
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Bouncing singularities and thermal correlators on line defects
Retarded correlators of bulk scalars and Wilson-line displacement operators exhibit bouncing singularities at t_c=β/2(1+i) with matching WKB and asymptotic OPE data, implying a universal high-frequency factorization.
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Stochastic Dynamics of Heavy Quarks in Strongly Coupled Plasma
Kolmogorov dynamics for heavy quarks in hot plasma shows significantly delayed large-momentum equilibration compared to Fokker-Planck with matched drag, due to rare low-momentum-loss events.
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Anisotropic drag force in finite-density QGP from charged rotating 5D black holes
Exact and perturbative drag forces are derived for heavy quarks in holographic plasmas dual to charged rotating 5D black holes, with regularity conditions fixing integration constants and yielding finite anisotropic corrections.
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Holographic light-quark energy loss in a spinning plasma
Holographic calculation in a spinning Myers-Perry black brane shows that higher temperature or rotation parameter a shortens light-quark stopping distance and increases instantaneous energy loss, with stronger anisotropy for transverse motion.