Vortex-condensations of a non-relativistic Maxwell-Chern-Simons theory

[摘要] We study an elliptic system subject to periodic boundary conditions arising from the study of vortex-condensates for a selfdual non-relativistic model introduced by Dunne et al., Phys. Rev. D. 43, 1332-1345 (1990) in the framework of Chern-Simons gauge theory. We prove the existence of a vortex-condensate for all values of the relevant physical parameters involved in the model. This completes a recent work of Spruck and Yang [16] who could deal only with a restricted set of those parameters. Uniqueness is also discussed. (C) 1997 Academic Press.

[发布日期] 1997-12-10