On the mass spectrum of noncommutative Schwinger model in Euclidean ${\mathbb{R}}^2$ space

Abstract

The mass spectrum of the noncommutative QED in two-dimensional Euclidean ${\mathbb{R}}^2$ space is derived first in a perturbative approach at one-loop level and then in a nonperturbative approach using the equivalent bosonized noncommutative effective action. It turns out that the mass spectrum of noncommutative QED in two dimensions reduces to a single non-interacting meson with mass $M_{\gamma }=\frac{g}{\sqrt{\pi }}$, as in commutative Schwinger model.

23 pages, 2 figures; V2: References added. The first paragraph of the Introduction revised. Version accepted for publication in EPJC

References in corpus (5)

• On the question of deconfinement in noncommutative Schwinger Model
• Jost-Lehmann-Dyson Representation and Froissart-Martin Bound in Quantum Field Theory on Noncommutative Space-Time
• Dynamics of O(N) Model in a Strong Magnetic Background Field as a Modified Noncommutative Field Theory
• Noncommutative Time in Quantum Field Theory
• Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons

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• Noncommutative Two-Dimensional Gauge Theories
• Chiral Thirring-Wess Model
• Källén-Lehmann representation of noncommutative quantum electrodynamics
• Study of the photon's pole structure in the noncommutative Schwinger model
• Perturbative effective action for the photon in noncommutative QED${}_2$ and exactness of the Schwinger mass
• Dynamical generation of mass in the noncommutative supersymmetric Schwinger model
• Nonperturbative Aspects of the two-dimensional Massive Gauged Thirring Model
• Noncommutative Sugawara Construction