Gauged lifshitz model with chern-simons term
We present a gauged Lifshitz Lagrangian including second- and fourth-order spatial derivatives of the scalar field and a Chern-Simons term, and study nontrivial solutions of the classical equations of motion. While the coefficient β of the fourth-order term should be positive in order to guarantee p...
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2013
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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v28_n9_p_Lozano http://hdl.handle.net/20.500.12110/paper_0217751X_v28_n9_p_Lozano |
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paper:paper_0217751X_v28_n9_p_Lozano2023-06-08T15:21:10Z Gauged lifshitz model with chern-simons term Chern-Simons Lifshitz theories vortex solutions We present a gauged Lifshitz Lagrangian including second- and fourth-order spatial derivatives of the scalar field and a Chern-Simons term, and study nontrivial solutions of the classical equations of motion. While the coefficient β of the fourth-order term should be positive in order to guarantee positivity of the energy, the coefficient of the quadratic one need not be. We investigate the parameter domains and find significant differences in the field behaviors. Apart from the usual vortex field behavior of the ordinary relativistic Chern-Simons-Higgs model, we find in certain parameter domains oscillatory solutions reminiscent of the modulated phases of Lifshitz systems. © 2013 World Scientific Publishing Company. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v28_n9_p_Lozano http://hdl.handle.net/20.500.12110/paper_0217751X_v28_n9_p_Lozano |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Chern-Simons Lifshitz theories vortex solutions |
spellingShingle |
Chern-Simons Lifshitz theories vortex solutions Gauged lifshitz model with chern-simons term |
topic_facet |
Chern-Simons Lifshitz theories vortex solutions |
description |
We present a gauged Lifshitz Lagrangian including second- and fourth-order spatial derivatives of the scalar field and a Chern-Simons term, and study nontrivial solutions of the classical equations of motion. While the coefficient β of the fourth-order term should be positive in order to guarantee positivity of the energy, the coefficient of the quadratic one need not be. We investigate the parameter domains and find significant differences in the field behaviors. Apart from the usual vortex field behavior of the ordinary relativistic Chern-Simons-Higgs model, we find in certain parameter domains oscillatory solutions reminiscent of the modulated phases of Lifshitz systems. © 2013 World Scientific Publishing Company. |
title |
Gauged lifshitz model with chern-simons term |
title_short |
Gauged lifshitz model with chern-simons term |
title_full |
Gauged lifshitz model with chern-simons term |
title_fullStr |
Gauged lifshitz model with chern-simons term |
title_full_unstemmed |
Gauged lifshitz model with chern-simons term |
title_sort |
gauged lifshitz model with chern-simons term |
publishDate |
2013 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v28_n9_p_Lozano http://hdl.handle.net/20.500.12110/paper_0217751X_v28_n9_p_Lozano |
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1768542734876934144 |