On the energy crisis in noncommutative CP(1) model

We study the CP(1) system in (2+1)-dimensional noncommutative space with and without Chern-Simons term. Using the Seiberg-Witten map we convert the noncommutative CP(1) system to an action written in terms of the commutative fields. We find that this system presents the same infinite size instanton...

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Autor principal: Sourrouille, L.
Formato: JOUR
Materias:
CP(1) nonlinear sigma model
Noncommutative field theory
Seiberg-Witten map
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_05503213_v834_n3_p471_Sourrouille
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_05503213_v834_n3_p471_Sourrouille2023-10-03T15:34:21Z On the energy crisis in noncommutative CP(1) model Sourrouille, L. CP(1) nonlinear sigma model Noncommutative field theory Seiberg-Witten map We study the CP(1) system in (2+1)-dimensional noncommutative space with and without Chern-Simons term. Using the Seiberg-Witten map we convert the noncommutative CP(1) system to an action written in terms of the commutative fields. We find that this system presents the same infinite size instanton solution as the commutative Chern-Simons-CP(1) model without a potential term. Based on this result we argue that the BPS equations are compatible with the full variational equations of motion, rejecting the hypothesis of an " energy crisis" In addition we examine the noncommutative CP(1) system with a Chern-Simons interaction. In this case we find that when the theory is transformed by the Seiberg-Witten map it also presents the same instanton solution as the commutative Chern-Simons-CP(1) model. © 2010 Elsevier B.V. Fil:Sourrouille, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_05503213_v834_n3_p471_Sourrouille
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic CP(1) nonlinear sigma model
Noncommutative field theory
Seiberg-Witten map
spellingShingle CP(1) nonlinear sigma model
Noncommutative field theory
Seiberg-Witten map
Sourrouille, L.
On the energy crisis in noncommutative CP(1) model
topic_facet CP(1) nonlinear sigma model
Noncommutative field theory
Seiberg-Witten map
description We study the CP(1) system in (2+1)-dimensional noncommutative space with and without Chern-Simons term. Using the Seiberg-Witten map we convert the noncommutative CP(1) system to an action written in terms of the commutative fields. We find that this system presents the same infinite size instanton solution as the commutative Chern-Simons-CP(1) model without a potential term. Based on this result we argue that the BPS equations are compatible with the full variational equations of motion, rejecting the hypothesis of an " energy crisis" In addition we examine the noncommutative CP(1) system with a Chern-Simons interaction. In this case we find that when the theory is transformed by the Seiberg-Witten map it also presents the same instanton solution as the commutative Chern-Simons-CP(1) model. © 2010 Elsevier B.V.
format JOUR
author Sourrouille, L.
author_facet Sourrouille, L.
author_sort Sourrouille, L.
title On the energy crisis in noncommutative CP(1) model
title_short On the energy crisis in noncommutative CP(1) model
title_full On the energy crisis in noncommutative CP(1) model
title_fullStr On the energy crisis in noncommutative CP(1) model
title_full_unstemmed On the energy crisis in noncommutative CP(1) model
title_sort on the energy crisis in noncommutative cp(1) model
url http://hdl.handle.net/20.500.12110/paper_05503213_v834_n3_p471_Sourrouille
work_keys_str_mv AT sourrouillel ontheenergycrisisinnoncommutativecp1model
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