Excitations in Hot Non-Commutative Theories

TL;DR

This paper investigates the behavior of scalar excitations in hot non-commutative supersymmetric theories, revealing superluminal modes and non-zero momentum minima, with implications for finite temperature and density conditions.

Contribution

It provides new insights into the dispersion relations of scalar excitations in non-commutative theories at finite temperature, including superluminal velocities and momentum minima.

Findings

Low momentum modes in N=4 Yang-Mills are superluminal.

In the Wess-Zumino model, the dispersion minimum shifts to non-zero momentum above T_0.

Brief discussion on N=2 Yang-Mills at finite density.

Abstract

We study the dispersion relation for scalar excitations in supersymmetric, non-commutative theories at finite temperature. In N=4 Yang-Mills the low momenta modes have superluminous group velocity. In the massless Wess-Zumino model the minimum of the dispersion relation is at non zero momentum for temperatures above T_0 ~ (g \theta)^(-1\2). We briefly comment on N=2 Yang-Mills at finite density.