A two-dimensional soliton system in the Maxwell–Chern–Simons gauge model

A. Yu Loginov, V. V. Gauzshtein

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


The (2+1)-dimensional Maxwell–Chern–Simons gauge model consisting of two complex scalar fields interacting through a common Abelian gauge field is considered. It is shown that the model has a solution that describes a soliton system consisting of vortex and Q-ball constituents. This two-dimensional soliton system possesses a quantized magnetic flux and a quantized electric charge. Moreover, the soliton system has a nonzero angular momentum. Properties of this vortex-Q-ball system are investigated by analytical and numerical methods. It is found that the system combines properties of a vortex and a Q-ball.

Original languageEnglish
Pages (from-to)112-117
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Publication statusPublished - 10 Sep 2018


  • Chern–Simons term
  • Flux quantization
  • Noether charge
  • Q-ball
  • Vortex

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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