Séminaire de Physique Théorique
Fermions localized on solitons in flat and curved space-timeYakov Shnir (Oldenburg University, Institute of Physics)
Thursday 18 January 2024 14:00 - Salle des séminaires - Salle 1180, bâtiment E2
Résumé :
We discuss fermionic modes localized on solitons. Using numerical methods, we construct self-consistent solutions of the corresponding system of coupled integral-differential equations and study dependencies of solitons and normalizable fermion bound states on the values of the parameters of the model. In particular, we consider solutions of (1+1)-dimensional scalar models with self-interaction potentials, including the sine-Gordon model and the polynomial ϕ4 and ϕ6 models, coupled to the Dirac fermions with a backreaction, and show that presence of fermionic modes leads to formation of static multisoliton bound states. We also study effects of backreaction of the fermionic modes localized by the baby Skyrmion in the (2+1)-dimensional Skyrme model. Considering the effects of gravity we study fermions localized on the static spherically symmetric non-Abelian monopole in the Einstein-Dirac-Yang-Mills-Higgs theory and on the self-gravitating Skyrmion and discuss how the corresponding spectral flows depend on the effective gravitational coupling constant.
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