Geometric interpretation of the Standard Model as topological excitations

Abstract: In perturbative QFT we decompose scenarios into Feynman ensemble of diagrams, each of them should correspond to a field configuration - I would like to present and discuss geometric/topological approach to find them, based on liquid crystal Landau-de Gennes model. To enforce charge quantization in Gauss law, we interpret dual F tensor as curvature of a deeper field (Faber’s approach), this way Gauss law counts its topological charge. To prevent infinite energy of singularity in its center, we use Higgs-like potential to regularize it to a finite energy (mass), what leads to short range corrections of Coulomb interaction, in agreement with the running coupling effect (arXiv:2210.13374). Living in 3D, charges appear in 3 families of different mass, resembling 3 leptons. There are also 3 types of vortices resembling color strings - which inward/outward field rotation by pi would correspond to elementary electric (as topological) charge, and fractional rotations to 6 types of quarks, e.g. appearing in quark-antiquark pairs with increased energy between them for confinement. The u quark is preferred energetically due to suggested baryon configuration, explaining why proton is lighter than neutron, also e.g. binding mechanism and electric quadrupole moment of deuteron. Hadronization can be viewed here through reconnections of such high energy color string into various final configurations. Suggested neutrino oscillations through field rotations also seem in agreement: mainly between muon and tau neutrino, with more freedom in PMNS than CKM mixing matrices.

mathematical physicsgeneral physicsquantum physics

Audience: researchers in the topic

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QM Foundations & Nature of Time seminar

Series comments: Description: Physics foundations discussion seminar

Current access link in th.if.uj.edu.pl/~dudaj/QMFNoT

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