Kinks bounded by fermions

Abstract

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 consider solutions of simple 1+1 dimensional scalar field theories with self-interaction potentials, including sine-Gordon model and the polynomial ${\varphi }^4$, ${\varphi }^6$ models, coupled to the Dirac fermions with back-reaction. We discover that there is an additional fermion exchange interaction between the solitons, it leads to the formation of static multi-soliton bound states. Further, we argue that similar mechanisms of formation of stable coupled multi-soliton configurations can be observed for a wide class of physical systems.

5 pages, 4 figures

References in corpus (13)

• Fermion zero modes on vortices in chiral superconductors
• Kink-antikink collisions in the phi^6 model
• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
• phi^4 Kinks - Gradient Flow and Dynamics
• N=1 supersymmetric extension of the baby Skyrme model
• Remarks on bell-shaped lumps: stability and fermionic modes
• Fermions on Colliding Branes
• Fermions on one or fewer Kinks
• Fermions on the kink revisited
• Iterated ${\varphi }^4$ Kinks
• Soliton solutions of the fermion-Skyrmion system in (2+1) dimensions
• Magnetic Skyrmions coupled to fermions
• Baby Skyrme model and fermionic zero modes

Cited by in corpus (12)

• Kink-Antikink Collisions and Multi-Bounce Resonance Windows in Higher-Order Field Theories
• Fermionic spectral walls in kink collisions
• Fermion transfer in the ${\varphi }^4$ model with a half-BPS preserving impurity
• Resonance mediated by fermions in kink-antikink collisions
• Kink-antikink collision in the supersymmetric ${\varphi }^4$ model
• Fermions on wobbling kinks: normal versus quasinormal modes
• Scattering of fermionic isodoublets on the sine-Gordon kink
• Variational Approach to Excited Fermions on Kinks
• Excited fermions on kinks and the Dirac sea
• Bound States and Particle Production by Breather-Type Background Field Configurations
• Creation of Bound Half-Fermion Pairs by Solitons
• Remarks on sine-Gordon kink--fermion system: localized modes and scattering