A Note on Gauge Invariant Operators in Noncommutative Gauge Theories and the Matrix Model

TL;DR

This paper constructs a complete set of gauge-invariant operators in noncommutative gauge theories, linking them to the Matrix model and closed string modes, and explores large Wilson loops in the commutative limit.

Contribution

It provides a simple construction of gauge-invariant operators in noncommutative gauge theories and connects them to the Matrix model and string duals.

Findings

Complete set of gauge-invariant operators constructed

Connection established with Matrix model and string modes

Large Wilson loops reduce to ordinary gauge theory loops in the commutative limit

Abstract

In this note we discuss local gauge-invariant operators in noncommutative gauge theories. Inspired by the connection of these theories with the Matrix model, we give a simple construction of a complete set of gauge-invariant operators. We make connection with the recent discussions of candidate operators which are dual to closed strings modes. We also discuss large Wilson loops which in the limit of vanishing noncommutativity, reduce to the closed Wilson loops of the ordinary gauge theory.