Bremen 2017 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 12: Field Theory and Cosmology

MP 12.2: Talk

Thursday, March 16, 2017, 14:20–14:40, SFG 2010

Gauged Baby Skyrme Model with and without Chern-Simons Term — •Yakov Shnir¹ and Albert Samoilenko² — ¹Joint Institute for Nuclear Research Bogoliubov Laboratory of Theoretical Physics — ²Belarus State University

The properties of the multisoliton solutions of the U(1) gauged modification of the 2+1 dimensional planar Skyrme model with and without Chern-Simons term are investigated numerically. Coupling to the Chern-Simons term allows for existence of the electrically charged solitons which may also carry magnetic fluxes. Two particular choices of the potential term are considered: (i) the weakly bounded potential and (ii) the double vacuum potential. In the absence of the gauge interaction in the former case the individual constituents of the multisoliton configuration are well separated, while in the latter case the rotational invariance of the configuration remains unbroken. We analyze the dependency of the structure of the solutions, the energies, angular momenta, electric and magnetic fields of the configurations on the gauge coupling constant g, and the electric potential. It is found that, generically, the coupling to the Chern-Simons term strongly affects the usual pattern of interaction between the skyrmions, in particular the electric repulsion between the solitons may break the multisoliton configuration into partons. On the other hand, in the strong coupling limit the coupling to the gauge field results in effective recovering of the rotational invariance of the configuration and both the magnetic flux and the electric charge of the solutions become quantized, although they are not topological numbers.