2011/11/12 by Nicola Cufaro Petroni, NICOLA CUFARO PETRONI, Modesto Pusterla +1
Mathematics · Physics and Astronomy · #Cutoff #Field theory (psychology) #High-Energy Particle Collisions Research #Interpretation (philosophy) #Lepton #Logarithm #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quantum chromodynamics #Quark #Relation (database) #Spectrum (functional analysis) #Standard Model (mathematical formulation) #hep-ph #math.PR #quant-ph
paper · pdf · doi:10.1142/s0217732312500344
published in Modern Physics Letters A 27(09), 1250034 (World Scientific) · 8 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1008.4255
arxiv created 2011/11/12 · openalex publication_date 2012/03/08 · arxiv updated 2014/09/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Starting from the relation between the kinetic energy of a free Lévy–Schrödinger 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.