Holography and drag force in thermal plasma of non-commutative Yang-Mills theories in diverse dimensions

TL;DR

This paper uses holography to compute how non-commutativity affects the drag force on a quark in thermal plasma across various dimensions, revealing non-universal corrections dependent on dimensionality.

Contribution

It extends previous work by analyzing the drag force in non-commutative Yang-Mills theories in diverse dimensions, highlighting the dimensional dependence of non-commutative corrections.

Findings

Drag force corrections depend on the non-commutativity parameter.

Effective viscosity of the plasma decreases with non-commutativity.

Corrections vary with the dimensionality of the NCYM theories.

Abstract

We use holography and a string probe approach to compute the drag force on a quark moving in a thermal plasma of non-commutative Yang-Mills (NCYM) theories in various dimensions. The gravity background in these cases are described by a particular decoupling limit of non-extremal (D$(p-2)$, D$p$) brane bound state system. We show how the drag force on an external quark moving in the dual NCYM theories gets corrected due to non-commutativity and as a result the effective viscosity of the plasma gets reduced. We have obtained the drag force for both small and large non-commutativity. This was known earlier for (3+1)-dimensional NCYM theory, however, we find that the corrections for the general case typically depend on the dimensionality of the NCYM theories, indicating that the structure of the drag force is non-universal.