Interacting Dipoles from Matrix Formulation of Noncommutative Gauge Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX 11 pages, 4 figures; v.2 minor changes and some references added; v.3 many more technical details added and significantl

Scientific paper

10.1103/PhysRevD.65.105020

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.

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