Effect of Chern-Simons dynamics on the energy of electrically charged and spinning vortices

作     者：Francisco Navarro-Lérida Eugen Radu D. H. Tchrakian 

作者机构：Departamento de Física Atómica Molecular y Nuclear Ciencias Físicas Universidad Complutense de Madrid E-28040 Madrid Spain Departamento de Fisica da Universidade de Aveiro and Center for Research and Development in Mathematics and Applications (CIDMA) Campus de Santiago 3810-183 Aveiro Portugal School of Theoretical Physics Dublin Institute for Advanced Studies 10 Burlington Road Dublin 4 Ireland Department of Computer Science NUI Maynooth Maynooth Ireland 

出 版 物：《Physical Review D》 (Phy. Rev. D)

年 卷 期：2017年第95卷第8期

页      面：085016-085016页

核心收录：

基　　金：Horizon 2020 Framework Programme, H2020, (690904) , (UID/MAT/04106/2013) 

主　　题：Classical solutions in field theory Angular momentum Mass 

摘      要：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 and J. 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. We carry out a detailed quantitative analysis of azimuthally symmetric vortices and describe their qualitative features by constructing the solutions numerically.