Pseudo-Complex Field Theory
High Energy Physics - Theory
2008-11-26 v1
Abstract
A new formulation of field theory is presented, based on a pseudo-complex description. An extended group structure is introduced, implying a minimal scalar length, rendering the theory regularized a la Pauli-Villars. Cross sections are calculated for the scattering of an electron at an external Coulomb field and the Compton scattering. Deviations due to a smallest scalar length are determined. The theory also permits a modification of the minimal coupling scheme, resulting in a generalized dispersion relation. A shift of the Greisen-Zatsepin-Kuzmin-limit (GZK) of the cosmic ray spectrum is the consequence.
Cite
@article{arxiv.0705.1233,
title = {Pseudo-Complex Field Theory},
author = {Peter O. Hess and Walter Greiner},
journal= {arXiv preprint arXiv:0705.1233},
year = {2008}
}