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Topological Fermi arcs in superfluid He
M. A. Silaev, G. E. Volovik
We consider fermionic states bound on domain walls in a Weyl superfluid He-A and on interfaces between He-A and a fully gapped topological superfluid He-B. We demonstra…
The Nambu sum rule and the relation between the masses of composite Higgs bosons
G. E. Volovik, M. A. Zubkov
We review the known results on the bosonic spectrum in various NJL models both in the condensed matter physics and in relativistic quantum field theory including He-B, He-A…
Euler - Heisenberg effective action and magnetoelectric effect in multilayer graphene
M. I. Katsnelson, G. E. Volovik, M. A. Zubkov
The low energy effective field model for the multilayer graphene (at ABC stacking) is considered. We calculate the effective action in the presence of constant external magnetic fi…
Bose analogs of MIT bag model of hadrons in coherent precession
S. Autti, V. B. Eltsov, G. E. Volovik
Recently it was demonstrated that magnon condensation in the trap exhibits the phenomenon of self-localization. When the number of magnons in the textural trap increases, they dras…
Quantum electrodynamics with anisotropic scaling: Heisenberg-Euler action and Schwinger pair production in the bilayer graphene
M. I. Katsnelson, G. E. Volovik
We discuss quantum electrodynamics emerging in the vacua with anisotropic scaling. Systems with anisotropic scaling were suggested by Horava in relation to the quantum theory of gr…
Momentum space topological invariants for the 4D relativistic vacua with mass gap
M. A. Zubkov, G. E. Volovik
Topological invariants for the 4D gapped system are discussed with application to the quantum vacua of relativistic quantum fields. Expression for the 4D systems…