Velocity Laws for Bound States in Asymptotically AdS Geometries

TL;DR

This paper analyzes how heavy quark bound states behave in moving plasmas modeled by dual theories with complex RG flows, revealing non-universal velocity scaling influenced by boundary geometry.

Contribution

It provides an analytical study of velocity-dependent observables for bound states in non-trivial holographic backgrounds, highlighting geometric factors affecting scaling laws.

Findings

Scaling exponents depend on boundary geometry conditions.

Velocity scaling is non-universal despite asymptotic AdS geometry.

Results connect boundary expansion order to Wilson loop behavior.

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.