Observables of Non-Commutative Gauge Theories

TL;DR

This paper constructs gauge-invariant operators in non-commutative gauge theories, revealing universal exponential behaviors in two-point functions in the UV and connecting these results with supergravity and string theory predictions.

Contribution

It introduces gauge-invariant operators in non-commutative gauge theories and analyzes their correlation functions, linking UV behavior to supergravity and string theory results.

Findings

Two-point functions exhibit universal exponential behavior in the UV

Ratios of n-point to two-point functions show exponential suppression at high energies

Results align with dual supergravity and string theory predictions

Abstract

We construct gauge invariant operators in non-commutative gauge theories which in the IR reduce to the usual operators of ordinary field theories (e.g. F^2). We show that in the deep UV the two-point functions of these operators admit a universal exponential behavior which fits neatly with the dual supergravity results. We also consider the ratio between n-point functions and two-point functions to find exponential suppression in the UV which we compare to the high energy fixed angle scattering of string theory.