On the mass spectrum of noncommutative Schwinger model in Euclidean ℝ2 space

Abstract

The mass spectrum of noncommutative QED in two-dimensional Euclidean ℝ2 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.