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Origin of quark masses and Cabbibo-Kobayashi-Maskawa matrix in a gauge theory with nonunitary parallel transporters

2003/05/30 by C. Lehmann, Lehmann, C., G. Mack +4 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-ph/0305331

10 pages, 1 figure, change of Kobayashi Maskawa to Cabbibo-Kobayashi-Maskawa in title and elsewhere upon editorial request, removed typo, one periferal statement withdrawn

openalex publication_date 2003/05/30 · arxiv created 2003/06/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Starting from a characteristic biinvariance property of Higgs potentials in gauge theories with nonunitary parallel transporters, we explain how quarks of different flavor can acquire different masses by spontaneous symmetry breaking and what is the difference between colour and flavor. We present a gauge theoretic model where the Cabbibo-Kobayashi-Maskawa matrix becomes computable in principle. The model lives on a five dimensional space time with two four dimensional boundaries R and L a small distance d apart. Right handed quarks and leptons live on R and left handed quarks and leptons on L. Photons can propagate in the bulk. ee- and deep inelastic eN-scattering at energies larger than 1/d will be affected.

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