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

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

2010-11-22

arxiv.org/abs/1011.4877v3

Eur.Phys.J.C71:1606,2011

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1140/epjc/s10052-011-1606-5

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.

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