Dispersion relations in the noncommutative Ï^3 and Wess-Zumino model in the Yang-Feldman formalism
arXiv:hep-th/0605062 · doi:10.1007/s00023-009-0401-4
Abstract
We study dispersion relations in the noncommutative Ï^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.
23 pages, 2 figures. v2: Minor corrections and changes in the presentation