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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Autores principales: Lozano, G.S., Schaposnik, F.A., Tallarita, G.
Formato: JOUR
Materias:
Chern-Simons
Lifshitz theories
vortex solutions
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0217751X_v28_n9_p_Lozano
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0217751X_v28_n9_p_Lozano
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spelling todo:paper_0217751X_v28_n9_p_Lozano2023-10-03T15:10:36Z Gauged lifshitz model with chern-simons term Lozano, G.S. Schaposnik, F.A. Tallarita, G. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Lozano, G.S.
Schaposnik, F.A.
Tallarita, G.
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.
format JOUR
author Lozano, G.S.
Schaposnik, F.A.
Tallarita, G.
author_facet Lozano, G.S.
Schaposnik, F.A.
Tallarita, G.
author_sort Lozano, G.S.
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
url http://hdl.handle.net/20.500.12110/paper_0217751X_v28_n9_p_Lozano
work_keys_str_mv AT lozanogs gaugedlifshitzmodelwithchernsimonsterm
AT schaposnikfa gaugedlifshitzmodelwithchernsimonsterm
AT tallaritag gaugedlifshitzmodelwithchernsimonsterm
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