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Two basic problems posed by quantum scattering of fundamental particles

Marijan Ribaric·Luka Sustersic
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Abstract

We put forward a finite theory of quantum scattering of fundamental particles without using auxiliary particles. It suggests that to avoid ultraviolet divergencies and model faster-than-light effects it suffices to appropriately change only the free-field Lagrangians while retaining their locality in space-time and Lorentz invariance. Using functions of two independent four-vector variables, we base this finite theory on the path-integral formalism on the four-dimensional space-time and the Lehmann-Symanzik-Zimmermann reduction formula.

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Marijan Ribaric, Luka Sustersic. 2004-11-09. Two basic problems posed by quantum scattering of fundamental particles. https://arxiv.org/abs/hep-th/0403084

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