Effects of hyperscaling violation and dynamical exponents on drag force

TL;DR

This paper investigates how hyperscaling violation and dynamical exponents influence the drag force on a charged particle in strongly coupled systems using holographic duality, considering various particle motions and electromagnetic effects.

Contribution

It provides a detailed analysis of drag force, energy loss, and related quantities in hyperscaling violating backgrounds, including effects of electromagnetic fields and different particle trajectories.

Findings

Drag force varies with velocity, temperature, and hyperscaling parameters.

Energy loss depends on electromagnetic fields and particle motion.

Drag force and energy loss are affected by hyperscaling violation parameter θ and dynamical exponent z.

Abstract

In this paper, we calculate the drag force of a charged particle in systems with hyperscaling violation using the AdS/CFT correspondence. We obtain energy loss, friction coefficient, diffusion and quasi normal modes of a heavy point particle. Here, we consider two cases. In the first, we assume the heavy point particle moves with constant velocity v. In the second case, we assume the heavy point particle rotates along a circle of radius L with angular velocity {\omega}. Also, we add some electromagnetic field and obtain the energy loss. Finally, we draw some figures for the drag force with respect to the velocity and the temperature. As well, we show how the drag force and energy loss change with the hyperscaling violation parameter {\theta}, dynamical parameter z, mass m and charge Q.