Fermions localized on solitons in flat and curved space-time

par Dr Yakov Shnir (Oldenburg University, Institute of Physics)

jeudi 18 janv. 2024, 14:00 → 15:00 Europe/Paris

Salle 1180, bâtiment E2 (Salle des séminaires )

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.

Tours-2024-fermions.pdf