Our aim is to prove rigorously that the Chern-Simons model of Hong, Kim, and Pac [13] and Jackiw and Weinberg [14] (the CS model) and the Abelian Higgs model of Ginzburg and Landau (the AH model, see [15]) are unified by the Maxwell-Chern-Simons theory introduced by Lee, Lee, and Min in [16] (MCS mo
Non-relativistic Maxwell–Chern–Simons Vortices
✍ Scribed by M. Hassaı̈ne; P.A. Horváthy; J.-C. Yera
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 272 KB
- Volume
- 263
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
✦ Synopsis
The non-relativistic Maxwell Chern Simons model recently introduced by Manton is shown to admit self-dual vortex solutions with non-zero electric field. The interrelated geometric'' and hidden'' symmetries are explained. The theory is also extended to (non-relativistic) spinors. A relativistic, self-dual model, whose non-relativistic limit is the Manton model, is also presented. The relation to previous work is discussed.
1998 Academic Press the Galilean invariance. To be so, the transport current has to transform as J9 T Ä J9 T +#vÁ under a Galilei boost [1].
📜 SIMILAR VOLUMES
We study the system of elliptic equations defined over a doubly-periodic domain in R 2 , where the coefficients are specifically given by the physical model. This system arises in a self-dual non-relativistic Maxwell Chern Simons theory coupled with a neutral scalar field in (2+1)-dimensional space