Perturbative quantization of two-dimensional space-time noncommutative QED

Abstract

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.

22 pages, no figures

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Cited by in corpus (4)

• On the mass spectrum of noncommutative Schwinger model in Euclidean ${\mathbb{R}}^2$ space
• Källén-Lehmann representation of noncommutative quantum electrodynamics
• Perturbative effective action for the photon in noncommutative QED${}_2$ and exactness of the Schwinger mass
• Study of the photon's pole structure in the noncommutative Schwinger model