Study of the photon's pole structure in the noncommutative Schwinger model

Abstract

The photon self-energy of the noncommutative Schwinger model at two- and three-loop order is analyzed. It is shown that the mass spectrum of the model does not receive any correction from noncommutativity parameter ($\theta$) at these orders. Also it remains unchanged to all orders. The exact one-loop effective action for the photon is also calculated.

References in corpus (7)

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• Three dimensional noncommutative bosonization
• Noncommutative Two-Dimensional Gauge Theories
• Perturbative quantization of two-dimensional space-time noncommutative QED
• 'Schwinger Model' on the Fuzzy Sphere
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Cited by in corpus (3)

• Perturbative effective action for the photon in noncommutative QED${}_2$ and exactness of the Schwinger mass
• One-loop Photon's Effective Action in the Noncommutative Scalar QED${}_3$
• On the Poincaré and Gauge symmetry of a model where vector and axial vector interaction get mixed up with different weight