Vortex-condensations of a non-relativistic Maxwell-Chern-Simons theory
type: Item
instance of: scholarly article
title: Vortex-condensations of a non-relativistic Maxwell-Chern-Simons theory
zbMATH Open document ID: 0890.35040
published in: Journal of Differential Equations
publication date: 1998-06-11T00:00:00Z
review text: The paper describes an elliptic system subject to boundary conditions arising from the study of vortex-condensates for a selfdual non-relativistic model introduced by \textit{G. Dunne} et al. [Phys. Rev. D. 43, 1332-1345 (1990)] in the framework of Chern-Simons gauge theory. The author proves the existence of a vortex-condensate for all possible values of the relevant physical parameters involved in the model and for every prescribed set of zeroes of the Higgs-scalar. Among other things there is proved that for every region the given system can accomodate any number of vortices even though they all carry charges of same sign. Uniqueness problems are discussed and developed also. In analogy with the classical vortex theory there is also shown that the zero-set of the Higgs scalar uniquely determines the corresponding solution provided that the mass \(m_A\) of the gauge field is suitably restricted (according to the prescribed zero-set), while the mass \(m\) of the Higgs field may be arbitrary.
Mathematics Subject Classification ID: 35J55
Mathematics Subject Classification ID: 35Q05
zbMATH DE Number: 1109513
zbMATH Keywords: Chern-Simons gauge theory
zbMATH Keywords: condensate solution
zbMATH Keywords: a priori estimates
author: G. Tarantello
reviewed by: Nikita Ratanov
MaRDI profile type: Publication
full work available at URL: jdeq.1997.3334
OpenAlex ID: W2092232779
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DOI: 10.1006/JDEQ.1997.3334
description: scientific article; zbMATH DE number 1109513