Non-Abelian Chern-Simons-Higgs solutions in 2 + 1 dimensions

Navarro-Lerida, Francisco and Radu, Eugen and Tchrakian, D.H. (2009) Non-Abelian Chern-Simons-Higgs solutions in 2 + 1 dimensions. Physical Review D, 79 (6). 065036.1-065036.11. ISSN 1550-7998

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Non-Abelian vortices of an SU(2) Chern-Simons-Higgs theory in 2 + 1 dimensions are constructed numerically. They represent natural counterparts of the U(1) solutions considered by Hong, Kim, and Pac, and by Jackiw and Weinberg. The Abelian embeddings are identified, for all values of the Higgs self interaction strength v, resulting in both attractive and repulsive phases. A detailed analysis of the properties of the solutions reveals the existence of a number of unexpected features. For a certain range of the parameter v, it is shown that the non-Abelian vortices have lower energy than their topologically stable Abelian counterparts The angular momentum of these vortices is analyzed and it is found that unlike the Abelian ones, whose angular momentum and energy are unrelated, there is a nontrivial mass-spin relation of the non-Abelian vortices.

Item Type: Article
Additional Information: It is a pleasure to thank Peter Breitenlohner and Valery Rubakov for very helpful discussions concerning the question of stability. We thank Roman Jackiw for having directed us to the results on nonrelativistic non-Abelian vortices. This work is carried out in the framework of Science Foundation Ireland (SFI) Project No. RFP07- 330PHY and under Project No. FIS2006-12783-C03-02 of the Spanish Education and Science Ministry. The work of E. R. was supported by the Alexander von Humboldt Foundation.
Keywords: Non-Abelian; Chern-Simons-Higgs solutions; 2 + 1 dimensions;
Academic Unit: Faculty of Science and Engineering > Experimental Physics
Faculty of Science and Engineering > Computer Science
Faculty of Science and Engineering > Mathematics and Statistics
Item ID: 2238
Identification Number: DOI: 10.1103/PhysRevD.79.065036
Depositing User: Tigran Tchrakian
Date Deposited: 09 Nov 2010 16:47
Journal or Publication Title: Physical Review D
Publisher: American Physical Society
Refereed: Yes

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