Langevin Diffusion in Holographic Backgrounds with Hyperscaling Violation

Author:

Sadeghi J.1,Pourasadollah F.1

Affiliation:

1. Department of Physics, Sciences Faculty, Mazandaran University, P.O. Box 47415-416, Babolsar, Iran

Abstract

We consider a relativistic heavy quark which moves in the quark-gluon plasmas. By using the holographic methods, we analyze the Langevin diffusion process of this relativistic heavy quark. This heavy quark is described by a trailing string attached to a flavor brane and moving at constant velocity. The fluctuations of this string are related to the thermal correlators and the correlation functions are precisely the kinds of objects that we compute in the gravity dual picture. We obtain the action of the trailing string in hyperscaling violation backgrounds and we then find the equations of motion. These equations lead us to constructing the Langevin correlator which helps us to obtain the Langevin constants. Using the Langevin correlators we derive the spectral densities and simple analytic expressions in the small- and large-frequency limits. We examine our works for planar andR-charged black holes with hyperscaling violation and find new constraints onθin the presence of velocityv.

Publisher

Hindawi Limited

Subject

Nuclear and High Energy Physics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Thermodynamics and energy loss in D dimensions from holographic QCD model;The European Physical Journal C;2022-06-24

2. Fluctuation and dissipation from a deformed string/gauge duality model;Physical Review D;2020-10-05

3. Effects of hyperscaling violation and dynamical exponents on drag force;Journal of Physics G: Nuclear and Particle Physics;2018-06-25

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