105 citations · 484 across the 20 of their papers we have counts for
12 papers · 1 filter
Remarks on sine-Gordon kink--fermion system: localized modes and scattering
Vakhid A. Gani, Anastasia Gorina, Ilya Perapechka +1
We study numerically the kink-fermion interactions in a 1+1 dimensional toy model, which describes sine-Gordon kinks coupled to the massless Dirac fermions with backreaction. We sh…
Resonance structures in kink-antikink collisions in a deformed sine-Gordon model
Patrick Dorey, Anastasia Gorina, Ilya Perapechka +2
We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the model, and a -like model with three de…
Q-chains in the gauged Friedberg-Lee-Sirlin model
Viktor Loiko, Ilya Perapechka, Yakov Shnir
We construct static axially symmetric multi-Q-ball configurations in the gauged two-component Fridberg-Lee-Sirlin model a flat spacetime. The solutions represent electromagn…
Kinks bounded by fermions
Ilya Perapechka, Yakov Shnir
We present and study new mechanism of interaction between the solitons based on the exchange interaction mediated by the localized fermion states. As particular examples, we consid…
Fermions on the kink revisited
V. Klimashonok, I. Perapechka, Ya. Shnir
We study fermion modes localized on the kink in the 1+1 dimensional model, coupled to the Dirac fermions with backreaction. Using numerical methods we construct self-consiste…
Magnetic Skyrmions coupled to fermions
I. Perapechka, Ya. Shnir
The index theorem implies that there are fermionic states localized on a soliton. Presence of these modes may significantly alter the pattern of interaction between the solitons. A…
Soliton solutions of the fermion-Skyrmion system in (2+1) dimensions
Ilya Perapechka, Nobuyuki Sawado, Yakov Shnir
We study effects of backreaction of the fermionic modes localized by the baby Skyrmion in the (2+1)-dimensional Skyrme model. It is shown that there is a tower of fermionic modes o…
Q-balls without a potential
V. Loiko, I. Perapechka, Ya. Shnir
We study non-topological Q-ball solutions of the (3+1)-dimensional Friedberg-Lee-Sirlin two-component model. The limiting case of vanishing potential term yields an example of hair…
Yang-Mills solitons in gravity
Ilya Perapechka, Yakov Shnir
We construct new family of spherically symmetric regular solutions of Yang-Mills theory coupled to pure gravity. The particle-like field configurations possess non-in…
Spinning gravitating Skyrmions in generalized Einstein-Skyrme model
Ilya Perapechka, Yakov Shnir
We investigate properties of self-gravitating isorotating Skyrmions in the generalized Einstein-Skyrme model with higher-derivative terms in the matter field sector. These stationa…
Crystal structures in generalized Skyrme model
Ilya Perapechka, Yakov Shnir
We investigate the properties of triply-periodic Skyrme crystals in the generalized Skyrme model with higher-derivati…
Generalized Skyrmions and hairy black holes in asymptotically AdS spacetime
Ilya Perapechka, Yakov Shnir
We investigate the properties of spherically symmetric black hole solutions in the generalized Einstein-Skyrme model theory in four-dimensional asymptotically anti-de Sitter space-…