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arXiv · 0705.1233

Pseudo-Complex Field Theory

Peter O. Hess·Walter Greiner
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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.

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Peter O. Hess, Walter Greiner. 2007-05-09. Pseudo-Complex Field Theory. https://doi.org/10.1142/s0218301307006964

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