Non-commutative holographic QCD and DC conductivity

TL;DR

This paper investigates how non-commutativity in a holographic QCD model affects electrical conductivity, revealing orientation-dependent increases or decreases in conductivity with temperature and non-commutativity parameters.

Contribution

It introduces a non-commutative holographic QCD model and analyzes how non-commutativity influences DC conductivity under various external field orientations.

Findings

Conductivity varies with temperature and non-commutativity parameters.

Orientation of external electric field relative to background B-field affects conductivity.

Non-commutativity can either increase or decrease conductivity depending on the setup.

Abstract

In this paper we consider non-commutative Sakai-Sugimoto model by using D8-branes probing the background generated by D4-branes with an NSNS B-field turned on. We study response of the system to external electric field which could be parallel to orthogonal to the background B-field. We compute the conductivity as a function of temperature and non-commutativity parameters. Non-commutativity effect, depending on the relative orientation of external and background electromagnetic fields, may increase or decrease the conductivity.