Anisotropic drag force in finite-density QGP from charged rotating 5D black holes
TLDR
This paper calculates the anisotropic drag force on heavy quarks in a rotating, finite-density QGP using holographic 5D black holes.
Key contributions
- Calculates anisotropic drag force on heavy quarks in rotating, finite-density holographic plasma.
- Uses 5D CCLP black holes with rotation and electric charge as the holographic dual.
- Derives exact, purely tangential, anisotropic drag force in the neutral Kerr-AdS limit.
- Analyzes stationary strings in charged CCLP, yielding finite transverse drag force.
Why it matters
This research advances our understanding of heavy quark interactions in extreme environments like the Quark-Gluon Plasma (QGP). By using holographic methods, it provides insights into how rotation and density affect energy loss, crucial for interpreting experimental results from heavy-ion collisions.
Original Abstract
We study the drag force acting on a heavy quark in a holographic plasma with rotational anisotropy and finite density. The bulk dual is the CCLP black hole of five-dimensional minimal gauged supergravity, characterised by two independent rotation parameters and electric charge. In the neutral Kerr--AdS limit, we use the principal Killing string to obtain an exact drag force for arbitrary rotation parameters. The resulting force is purely tangential but generically anisotropic, reducing to the viscous form only in the equal-spin sector. We then analyse stationary strings in the charged CCLP background perturbatively in the slow-rotation regime. A regularity analysis of the Lorentzian worldsheet fixes the angular integration constants that would otherwise remain ambiguous, yielding a finite renormalised transverse drag force with a smooth Kerr--AdS limit. We also show that, in the equal-spin sector, worldsheet regularity selects a unique co-rotating equilibrium quark and compute its renormalised free-energy shift.
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