Noncommutative (supersymmetric) electrodynamics in the Yang-Feldman formalism

Details Noncommutative (supersymmetric) electrodynamics in the Yang-Feldman formalism Noncommutative (supersymmetric) electrodynamics in the Yang-Feldman formalism

2010-08-13

arxiv.org/abs/1008.2309v2

Phys.Rev.D82:105033,2010

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, published version

Scientific paper

10.1103/PhysRevD.82.105033

We study quantum electrodynamics on the noncommutative Minkowski space in the Yang-Feldman formalism. Local observables are defined by using covariant coordinates. We compute the two-point function of the interacting field strength to second order and find the infrared divergent terms already known from computations using the so-called modified Feynman rules. It is shown that these lead to nonlocal renormalization ambiguities. Also new nonlocal divergences stemming from the covariant coordinates are found. Furthermore, we study the supersymmetric extension of the model. For this, the supersymmetric generalization of the covariant coordinates is introduced. We find that the nonlocal divergences cancel. At the one-loop level, the only effect of noncommutativity is then a momentum-depenent field strength normalization. We interpret it as an acausal effect and show that its range is independent of the noncommutativity scale.

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