Starting from the relation between the kinetic energy of a free LévySchrödinger 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 Lévy process. This subsequently leads to a particular cutoff 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. © 2012 World Scientific Publishing Company.
MASS SPECTRUM FROM STOCHASTIC LEVY-SCHRODINGER RELATIVISTIC EQUATIONS: POSSIBLE QUALITATIVE PREDICTIONS IN QCD
CUFARO PETRONI, Nicola;
2012-01-01
Abstract
Starting from the relation between the kinetic energy of a free LévySchrödinger 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 Lévy process. This subsequently leads to a particular cutoff 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. © 2012 World Scientific Publishing Company.File in questo prodotto:
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