Abstract
A heavy quark moving through a strongly coupled deconfined plasma has a holographic dual description as a string moving in a black brane geometry. We apply the holographic Wilsonian renormalization method to derive a holographic effective string action dual to the heavy quark. The effective action only depends on the geometry between the black brane horizon and a cutoff localized in the radial direction, corresponding to the IR of the dual theory. We derive RG flow equations for the coefficients in the effective action and show that the force acting on the heavy quark is independent of the position of the cutoff. All the information about the UV is hidden in integration constants of the RG flow equations. This type of approach could be used to improve semi-holographic models where the UV is described by perturbative QCD and the IR by a holographic model.
Highlights
Takes place close to the surface of the plasma ball, some of the particles produced may escape almost immediately, producing an observable jet, while the path of particles moving in the opposite direction might have to cross a significant portion of the plasma
This means that the heavy quark motion is sensitive to all the energy scales of the theory, in contrast for instance to hydrodynamic evolution, which is limited to the IR
In the Wilsonian method we introduce a cutoff in the dual geometry localized at a fixed distance from the asymptotic boundary
Summary
We will start by reviewing the holographic dual to a heavy quark in a high temperature deconfined phase. Considering the mass of the heavy quark to be effectively infinite, the heavy quark maps to a Wilson line and the holographic dual is a string ending at the quark trajectory on the asymptotic boundary This identification was done originally for static quarks [40,41,42] and later on generalized to quarks in motion [12,13,14,15]. We will assume in the following that this setup can be generalized to other holographic duals, i.e. we will use a string to describe a Wilson loop in different geometries, implicitly taking the metric in the string frame and neglecting any motion along internal space directions.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
