Pseudo-Complex Field Theory

Details Pseudo-Complex Field Theory Pseudo-Complex Field Theory

2007-05-09

arxiv.org/abs/0705.1233v1

Int.J.Mod.Phys.E16:1643-1679,2007

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 1 figure

Scientific paper

10.1142/S0218301307006964

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.

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