Interacting Dipoles from Matrix Formulation of Noncommutative Gauge Theories

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.

LaTeX 11 pages, 4 figures; v.2 minor changes and some references added; v.3 many more technical details added and significantly different presentation, use REVTeX 4, to appear in PRD

References in corpus (5)

• Gauge-fixing independence of IR divergences in non-commutative U(1), perturbative tachyonic instabilities and supersymmetry
• The Meaning of Infrared Singularities in Noncommutative Gauge Theories
• Wilsonian Effective Actions and the IR/UV Mixing in Noncommutative Gauge Theories
• Anatomy of One-Loop Effective Action in Noncommutative Scalar Field Theories
• Interacting Open Wilson Lines in Noncommutative Field Theories

Cited by in corpus (8)

• Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED${}_4$
• String states, loops and effective actions in noncommutative field theory and matrix models
• BRST Quantization of Noncommutative Gauge Theories
• Canonical Quantization of Noncommutative Field Theory
• Effective actions, Wilson lines and the IR/UV mixing in noncommutative supersymmetric gauge theories
• String modes, propagators and loops on fuzzy spaces
• UV-IR mixing and the quantum consistency of noncommutative gauge theories
• Softer Hard Scattering and Noncommutative Gauge-String Duality