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Are vortex numbers preserved?
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Maeda, Yoshiaki and Sako, Akifumi (2008) Are vortex numbers preserved? Journal of Geometry and Physics, Volume 58 (Number 8). pp. 967-978. doi:10.1016/j.geomphys.2008.03.004 ISSN 0393-0440.
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Official URL: http://dx.doi.org/10.1016/j.geomphys.2008.03.004
Abstract
We study noncommutative vortex solutions that minimize the action functional of the Abelian Higgs model in 2-dimensional noncommutative Euclidean space. We first consider vortex solutions which are deformed from solutions defined on commutative Euclidean space to the noncommutative one. We construct solutions whose vortex numbers are unchanged under the noncommutative deformation. Another class of noncommutative vortex solutions via a Fock space representation is also studied. (C) 2008 Elsevier B.V. All rights reserved.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Noncommutative differential geometry, Vortex-motion | ||||
Journal or Publication Title: | Journal of Geometry and Physics | ||||
Publisher: | Elsevier Science BV | ||||
ISSN: | 0393-0440 | ||||
Official Date: | August 2008 | ||||
Dates: |
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Volume: | Volume 58 | ||||
Number: | Number 8 | ||||
Number of Pages: | 12 | ||||
Page Range: | pp. 967-978 | ||||
DOI: | 10.1016/j.geomphys.2008.03.004 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | Japan. Monbushō | ||||
Grant number: | 18204006 (Monbusho) |
Data sourced from Thomson Reuters' Web of Knowledge
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