Dispersion relations in the noncommutative φ^3 and Wess-Zumino model in the Yang-Feldman formalism

Details Dispersion relations in the noncommutative φ^3 and Wess-Zumino model in the Yang-Feldman formalism Dispersion relations in the noncommutative φ^3 and Wess-Zumino model in the Yang-Feldman formalism

2006-05-05

arxiv.org/abs/hep-th/0605062v2

Annales Henri Poincare 10:35-60,2009

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 2 figures. v2: Minor corrections and changes in the presentation

Scientific paper

10.1007/s00023-009-0401-4

We study dispersion relations in the noncommutative \phi^3 and Wess-Zumino model in the Yang-Feldman formalism at one-loop order. Nonplanar graphs lead to a distortion of the dispersion relation. We find that the strength of this effect is moderate if the scale of noncommutativity is identified with the Planck scale and parameters typical for a Higgs field are employed. The contribution of the nonplanar graphs is calculated rigorously using the framework of oscillatory integrals.

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