8–11 Sept 2025
Opava, Czech Republic
Europe/Prague timezone

Landau-de Gennes-Skyrme model to recreate electromagnetism for liquid crystal-like quantized topological charges

10 Sept 2025, 14:45
45m
Lecture hall of Institute of Mathematics (Opava, Czech Republic)

Lecture hall of Institute of Mathematics

Opava, Czech Republic

Na Rybníčku 626/1, 746 01 Opava 1

Speaker

Jarosław Duda (Jagiellonian University)

Description

For liquid crystals there are experimentally recreated long-range e.g. Coulomb-like interactions between topological charges. Combining liquid crystal Landau-de Gennes model having Higgs-like potential of SO(3) vacuum, with 4-th order Skyrme term, we get effective Coulomb potential with Gauss law counting topological charge, then electromagnetism from Lorentz invariance. Regularization of singularities leads to low distance/high energy deformation of Coulomb in agreement with the running coupling effect.
There also appear topological vortices in agreement with QCD flux tubes/quark strings, allowing fractional charge xcitations for quarks, with conflict between them of asymptotically linear energy – recreating QCD Cornell potential. Baryon-like structures get structural tendency for positive core, which for neutron must be compensated – explaining why it is heavier than proton, or why deuteron has electric quadrupole moment. These quark strings seem also crucial for nuclear binding, including halo nucleons (arXiv:2108.07896).

Slides: https://www.dropbox.com/scl/fi/p1ydy45sngzw8ubk1thhx/liquid-crystal-particles.pdf?rlkey=n4202c6bjntcfo2hso4mapqeu&dl=0

Primary author

Jarosław Duda (Jagiellonian University)

Presentation materials