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arXiv · 1111.2956

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

Nicola Cufaro Petroni·Modesto Pusterla
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Abstract

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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Nicola Cufaro Petroni, Modesto Pusterla. 2011-11-12. Mass spectrum from stochastic Levy-Schroedinger relativistic equations: possible qualitative predictions in QCD. https://doi.org/10.1142/s0217732312500344

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