Mass spectrum from stochastic Levy-Schroedinger relativistic equations: possible qualitative predictions in QCD

Details Mass spectrum from stochastic Levy-Schroedinger relativistic equations: possible qualitative predictions in QCD Mass spectrum from stochastic Levy-Schroedinger relativistic equations: possible qualitative predictions in QCD

2011-11-12

arxiv.org/abs/1111.2956v1

Physics

Quantum Physics

8 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1008.4255

Scientific paper

Starting from the relation between the kinetic energy of a free Levy-Schroedinger particle and the logarithmic characteristic of the underlying stochastic process, we show that it is possible to get a precise relation between renormalizable field theories and a specific Levy process. This subsequently leads to a particular cut-off in the perturbative diagrams and can produce a phenomenological mass spectrum that allows an interpretation of quarks and leptons distributed in the three families of the standard model.

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