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Zapraszamy na seminarium 4.6.2024

Dear All,
We have the pleasure of inviting you to the Particle Theory Seminar on Tuesday,
June 4 at 12:15, which will be given by

Jarosław Duda (WMiI UJ)


“Geometric interpretation of the Standard Model with topological excitations".


In perturbative QFT we decompose scenario into Feynman 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 from arXiv:2108.07896. 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. Singularity in its center would have infinite energy, we use Higgs-like potential to regularize it to a finite energy, 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. Neutrino oscillations also seem in agreement: mainly between muon and taon neutrino, with more freedom in PMNS than CKM mixing matrices.

The speaker will be on-site, local participants are invited to meet in the seminar room D-2-02.