Gauge Invariant Correlators in Non-Commutative Gauge Theory

TL;DR

This paper investigates the high momentum behavior of gauge invariant correlators in noncommutative gauge theories, revealing a transition from exponential suppression to a field theoretic regime and matching supergravity predictions at strong coupling.

Contribution

It provides a perturbative analysis of correlation functions in noncommutative gauge theories and connects weak and strong coupling behaviors, including supergravity results.

Findings

Correlation functions are enhanced when momenta are antiparallel.

Transition from exponential suppression to field theoretic behavior at a critical angle.

Reproduction of supergravity predictions for two-point functions at strong coupling.

Abstract

Using perturbation theory, we explore the universal high momentum behavior of correlation functions of gauge invariant operators in planar noncommutative gauge theories. We find that the correlation functions are strongly enhanced when pairs of momenta become antiparallel. In particular, there is a transition from the previously noted exponential suppression of correlation functions at high momenta to a more field theoretic behavior when the momenta of pairs of operators antialign within a critical angle. Some of our calculations can be extrapolated to strong coupling, and in particular we are able to reproduce precisely the supergravity prediction for the behavior of two point functions, including the coupling dependence.