Velocity Laws for Bound States in Asymptotically AdS Geometries

Abstract

We study the behavior of heavy quark bound states in moving plasmas that are dual to theories with generic non‐trivial renormalization group flows interpolating between an AdS geometry in the ultraviolet and infrared fixed points with broken symmetries. We investigate analytically the observables associated with the bound state and find their scaling exponents with respect to the Lorentz factor for ultrarelativistic motion. Despite having asymptotically an AdS geometry, the scaling is not universal and depends on geometric conditions of the Fefferman‐Graham expansion in the near boundary regime, or equivalently on the order of the asymptotic background expansion that provides the leading contributions to the Wilson loops. We finally discuss the qualitative implications on the dissociation of the bound states with respect to the relative angle of motion.

Holographic anisotropic background in 5D Einstien–Gauss–Bonnet gravity

“…For future work, one can look at the effect of GB term on the entropic c-function following [10] the pressure along the different directions, the velocity law [42], bound states in baryons [43] and on the rotation of the mesons [44].…”