On the energy crisis in noncommutative CP(1) model
- Autores
- Sourrouille, Lucas
- Año de publicación
- 2010
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Fil: Sourrouille, Lucas. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina - Materia
-
Cp(1) Nonlinearsigma Model
Noncommutative Fields
Seiberg-Witten Map - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/16380
Ver los metadatos del registro completo
| id |
CONICETDig_ee7edf32f6b1c1b540527ef21f2df981 |
|---|---|
| oai_identifier_str |
oai:ri.conicet.gov.ar:11336/16380 |
| network_acronym_str |
CONICETDig |
| repository_id_str |
3498 |
| network_name_str |
CONICET Digital (CONICET) |
| spelling |
On the energy crisis in noncommutative CP(1) modelSourrouille, LucasCp(1) Nonlinearsigma ModelNoncommutative FieldsSeiberg-Witten Maphttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We 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.Fil: Sourrouille, Lucas. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaElsevier Science2010-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/16380Sourrouille, Lucas; On the energy crisis in noncommutative CP(1) model; Elsevier Science; Nuclear Physics B; 834; 3; 8-2010; 471-4840550-3213enginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.nuclphysb.2010.03.005info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0550321310001367info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:41:24Zoai:ri.conicet.gov.ar:11336/16380instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 15:41:25.064CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
On the energy crisis in noncommutative CP(1) model |
| title |
On the energy crisis in noncommutative CP(1) model |
| spellingShingle |
On the energy crisis in noncommutative CP(1) model Sourrouille, Lucas Cp(1) Nonlinearsigma Model Noncommutative Fields Seiberg-Witten Map |
| 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 |
| dc.creator.none.fl_str_mv |
Sourrouille, Lucas |
| author |
Sourrouille, Lucas |
| author_facet |
Sourrouille, Lucas |
| author_role |
author |
| dc.subject.none.fl_str_mv |
Cp(1) Nonlinearsigma Model Noncommutative Fields Seiberg-Witten Map |
| topic |
Cp(1) Nonlinearsigma Model Noncommutative Fields Seiberg-Witten Map |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
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. Fil: Sourrouille, Lucas. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina |
| 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. |
| publishDate |
2010 |
| dc.date.none.fl_str_mv |
2010-08 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/16380 Sourrouille, Lucas; On the energy crisis in noncommutative CP(1) model; Elsevier Science; Nuclear Physics B; 834; 3; 8-2010; 471-484 0550-3213 |
| url |
http://hdl.handle.net/11336/16380 |
| identifier_str_mv |
Sourrouille, Lucas; On the energy crisis in noncommutative CP(1) model; Elsevier Science; Nuclear Physics B; 834; 3; 8-2010; 471-484 0550-3213 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.nuclphysb.2010.03.005 info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0550321310001367 |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by/2.5/ar/ |
| eu_rights_str_mv |
openAccess |
| rights_invalid_str_mv |
https://creativecommons.org/licenses/by/2.5/ar/ |
| dc.format.none.fl_str_mv |
application/pdf application/pdf |
| dc.publisher.none.fl_str_mv |
Elsevier Science |
| publisher.none.fl_str_mv |
Elsevier Science |
| dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
| reponame_str |
CONICET Digital (CONICET) |
| collection |
CONICET Digital (CONICET) |
| instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
| repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
| repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
| _version_ |
1846083524956782592 |
| score |
13.22299 |