Interacting Dipoles from Matrix Formulation of Noncommutative Gauge Theories

TL;DR

This paper investigates the infrared behavior of noncommutative gauge theories using a matrix formulation, revealing insights into UV/IR mixing, dipole degrees of freedom, and their string theory-like dualities.

Contribution

It provides a matrix-based analysis of noncommutative gauge theories, clarifying UV/IR mixing and identifying dipole interactions and dualities at two-loop order.

Findings

UV/IR mixing is clearly understood in matrix formulation

Dipole degrees of freedom emerge at two loops

Dipoles show channel duality similar to string theory

Abstract

We study the IR behavior of noncommutative gauge theory in the matrix formulation. We find that in this approach, the nature of the UV/IR mixing is easily understood, which allows us to perform a reliable calculation of the quantum effective action for the long wavelength modes of the noncommutative gauge field. At one loop, we find that our description is weakly coupled only in the supersymmetric theory. At two loops, we find non-trivial interaction terms suggestive of dipole degrees of freedom. These dipoles exhibit a channel duality reminiscent of string theory.