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arXiv · 1011.4877

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

F. Ardalan·M. Ghasemkhani·N. Sadooghi
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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 $M_γ=\frac{g}{\sqrtπ}$, as in commutative Schwinger model.

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F. Ardalan, M. Ghasemkhani, N. Sadooghi. 2011-09-07. On the mass spectrum of noncommutative Schwinger model in Euclidean $\mathbb{R}^{2}$ space. https://doi.org/10.1140/epjc%2Fs10052-011-1606-5

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