M. Ghasemkhani — Page 2

arXiv2011

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

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.

hep-th↗

arXiv2009

Perturbative quantization of two-dimensional space-time noncommutative QED

Using the method of perturbative quantization in the first order approximation, we quantize a non-local QED-like theory including fermions and bosons whose interactions are described by terms containing higher order space-time derivatives. As an example, the two-dimensional space-time noncommutative QED (NC-QED) is quantized perturbatively up to O(e^2,θ^3), where e is the NC-QED coupling constant and θis the noncommutativity parameter. The resulting modified Lagrangian density is shown to include terms consisting of first order time-derivative and higher order space-derivatives of the modified field variables that satisfy the ordinary equal-time commutation relations up to O(e^2,θ^3. Using these commutation relations, the canonical current algebra of the modified theory is also derived.

hep-th↗