2016/12/23 by Francisco Navarro-Lérida, Francisco Navarro-Lerida, Eugen Radu +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Chern–Simons theory #Classical mechanics #Decoupling (probability) #Electric field #Gauge theory #Geometry #Mathematical physics #Mechanics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Spinning #Vortex #hep-th
paper · pdf · doi:10.1103/physrevd.95.085016
published as Phys. Rev. D 95, 085016 (2017) · 29 pages, 9 figures
arxiv created 2016/12/23 · openalex publication_date 2017/04/21 · arxiv updated 2017/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the effect of a Chern-Simons term on the electrically charged and spinning solitons of several U(1) gauged models in 2+1 dimensions. These are vortices of complex scalar field theories, both with and without symmetry breaking dynamics, and the O(3) Skyrme model. In all cases the gauge decoupling limits are also considered. It is well known that the effect of the Chern-Simons dynamics is to endow vortices with electric charge Qe and spin J, but our main aim here is to reveal a new feature: that the mass-energy E of the electrically charged vortex can be lower than that of the electrically neutral one, in contrast to the usual monotonic increase of E with Qe. These effects of Chern-Simons dynamics were observed previously in 3+1 dimensional systems, and the present results can be viewed as corroborating the latter. Moreover, the usual energy-spin relationship is likewise altered. We carry out a detailed quantitative analysis of azimuthally symmetric vortices and describe their qualitative features by constructing the solutions numerically.