Mass spectrum from stochastic Levy-Schroedinger relativistic equations:   possible qualitative predictions in QCD
  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. 
Nicola Cufaro Petroni and Modesto Pusterla
quant-ph hep-ph math.PR