English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study the effect of a Chern-Simons term on the electrically charged andspinning solitons of several $U(1)$ gauged models in $2+1$ dimensions. Theseare vortices of complex scalar field theories, both with and without symmetrybreaking dynamics, and the $O(3)$ Skyrme model. In all cases the gaugedecoupling limits are also considered. It is well known that the effect of theChern-Simons dynamics is to endow vortices with electric charge $Q_e$ 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 electricallyneutral one, in contrast to the usual monotonic increase of $E$ with $Q_e$.These effects of Chern-Simons dynamics were observed previously in $3+1$dimensional systems, and the present results can be viewed as corroborating thelatter. Moreover, the usual energy-spin relationship is likewise altered. Wecarry out a detailed quantitative analysis of azimuthally symmetric vorticesand describe their qualitative features by constructing the solutionsnumerically.

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