Drag force in a hot non-relativistic, non-commutative Yang-Mills plasma

TL;DR

This paper computes the drag force on an external quark in a hot, non-relativistic, non-commutative Yang-Mills plasma using holographic duality, revealing effects of non-relativistic and non-commutative parameters.

Contribution

It introduces a holographic model for a non-relativistic, non-commutative plasma and calculates the drag force, exploring the combined effects of non-relativistic and non-commutative features.

Findings

Derived a general expression for drag force incorporating non-relativistic and non-commutative effects

Analyzed limiting cases to understand the interplay of these effects

Provided insights into quark dynamics in complex plasma environments

Abstract

We apply the standard technique of Null Melvin Twist to the non-extremal (D1, D3) bound state configuration of type IIB string theory. Under a particular decoupling limit, such configuration represents the gravity dual of the non-relativistic, non-commutative Yang-Mills theory at a finite temperature. We then use the AdS/CFT and the string probe approach to compute the drag force on an external quark moving through such a hot non-relativistic, non-commutative YM plasma. We discuss various limiting cases to show the interplay between the non-relativistic as well as the non-commutative effect of the general drag force expression.