Soliton solutions of the fermion-Skyrmion system in (2+1) dimensions

  • I. Perapechka
  • Nobuyuki Sawado
  • Ya. ShnirEmail author
Open Access
Regular Article - Theoretical Physics


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 of two different types, localized by the soliton, however there is only one fermionic level, which flows from positive to negative value as coupling increases. Considering the strong coupling regime we observe that the coupling of the bosonic field to the fermions may strongly deform the Skyrmion, in particular the regions of negative topological charge density appear.


Sigma Models Solitons Monopoles and Instantons 


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© The Author(s) 2018

Authors and Affiliations

  1. 1.Department of Theoretical Physics and AstrophysicsBelarusian State UniversityMinskBelarus
  2. 2.Department of PhysicsTokyo University of ScienceNodaJapan
  3. 3.BLTP, JINRDubnaRussia

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