Blazquez-Salcedo, J.L. and Gonzalez-Romero, L.M. and Navarro-Lerida, F. and Tchrakian, D.H.
(2013)
Non-Abelian Chern-Simons-Higgs vortices with a quartic potential.
Physical Review D, 80 (025026).
p. 1.
ISSN 1550-7998
Abstract
We have constructed numerically non-Abelian vortices in an SU(2) Chern-Simons-Higgs theory with a
quartic Higgs potential.We have analyzed these solutions in detail by means of improved numerical codes
and found some unexpected features we did not find when a sixth-order Higgs potential was used. The
generic non-Abelian solutions have been generated by using their corresponding Abelian counterparts as
initial guess. Typically, the energy of the non-Abelian solutions is lower than that of the corresponding
Abelian one (except in certain regions of the parameter space). Regarding the angular momentum, the
Abelian solutions possess the maximal value, although there exist non-Abelian solutions which reach that
maximal value too. In order to classify the solutions it is useful to consider the non-Abelian solutions with
asymptotically vanishing At component of the gauge potential, which may be labeled by an integer
number m. For vortex number n = 3 and above, we have found uniqueness violation: two different non-Abelian solutions with all the global charges equal. Finally, we have investigated the limit of infinite Higgs
self-coupling parameter and found a piecewise Regge-like relation between the energy and the angular
momentum.
Item Type: |
Article
|
Additional Information: |
The definitive version of this article is available at DOI: 10.1103/PhysRevD.88.025026 |
Keywords: |
Non-Abelian; Chern-Simons-Higgs; vortices; quartic potential; |
Academic Unit: |
Faculty of Science and Engineering > Mathematical Physics |
Item ID: |
6181 |
Identification Number: |
https://doi.org/10.1103/PhysRevD.88.025026 |
Depositing User: |
Tigran Tchrakian
|
Date Deposited: |
09 Jun 2015 13:46 |
Journal or Publication Title: |
Physical Review D |
Publisher: |
American Physical Society |
Refereed: |
Yes |
URI: |
|
Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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