From D = 3 to D = 2 dimensions: A note on topological order

Autores
Fosco, Cesar Daniel; Schaposnik, Fidel Arturo
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We construct, by a procedure involving a dimensional reduction from a ChernSimons theory with borders, an effective theory for 1 + 1 dimensional superconductor. That system can be either in an ordinary phase or in a topological one, depending on the value of two phases, corresponding to complex order parameters. Finally, we argue that the original theory and its dimensionally reduced one can be related to the effective action for a quantum Dirac field in a slab geometry, coupled to a gauge field.
Fil: Fosco, Cesar Daniel. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Schaposnik, Fidel Arturo. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Materia
BORDERS
CHERN-SIMONS
TOPOLOGICAL ORDER
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/167558

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spelling From D = 3 to D = 2 dimensions: A note on topological orderFosco, Cesar DanielSchaposnik, Fidel ArturoBORDERSCHERN-SIMONSTOPOLOGICAL ORDERhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We construct, by a procedure involving a dimensional reduction from a ChernSimons theory with borders, an effective theory for 1 + 1 dimensional superconductor. That system can be either in an ordinary phase or in a topological one, depending on the value of two phases, corresponding to complex order parameters. Finally, we argue that the original theory and its dimensionally reduced one can be related to the effective action for a quantum Dirac field in a slab geometry, coupled to a gauge field.Fil: Fosco, Cesar Daniel. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaFil: Schaposnik, Fidel Arturo. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaWorld Scientific2021-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/167558Fosco, Cesar Daniel; Schaposnik, Fidel Arturo; From D = 3 to D = 2 dimensions: A note on topological order; World Scientific; Modern Physics Letters A: Particles and Fields; Gravitation; Cosmology and Nuclear Physics; 36; 24; 8-2021; 1-140217-73231793-6632CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0217732321501637info:eu-repo/semantics/altIdentifier/doi/10.1142/S0217732321501637info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:57:19Zoai:ri.conicet.gov.ar:11336/167558instacron: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:34982025-09-03 09:57:19.928CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv From D = 3 to D = 2 dimensions: A note on topological order
title From D = 3 to D = 2 dimensions: A note on topological order
spellingShingle From D = 3 to D = 2 dimensions: A note on topological order
Fosco, Cesar Daniel
BORDERS
CHERN-SIMONS
TOPOLOGICAL ORDER
title_short From D = 3 to D = 2 dimensions: A note on topological order
title_full From D = 3 to D = 2 dimensions: A note on topological order
title_fullStr From D = 3 to D = 2 dimensions: A note on topological order
title_full_unstemmed From D = 3 to D = 2 dimensions: A note on topological order
title_sort From D = 3 to D = 2 dimensions: A note on topological order
dc.creator.none.fl_str_mv Fosco, Cesar Daniel
Schaposnik, Fidel Arturo
author Fosco, Cesar Daniel
author_facet Fosco, Cesar Daniel
Schaposnik, Fidel Arturo
author_role author
author2 Schaposnik, Fidel Arturo
author2_role author
dc.subject.none.fl_str_mv BORDERS
CHERN-SIMONS
TOPOLOGICAL ORDER
topic BORDERS
CHERN-SIMONS
TOPOLOGICAL ORDER
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 construct, by a procedure involving a dimensional reduction from a ChernSimons theory with borders, an effective theory for 1 + 1 dimensional superconductor. That system can be either in an ordinary phase or in a topological one, depending on the value of two phases, corresponding to complex order parameters. Finally, we argue that the original theory and its dimensionally reduced one can be related to the effective action for a quantum Dirac field in a slab geometry, coupled to a gauge field.
Fil: Fosco, Cesar Daniel. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Schaposnik, Fidel Arturo. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
description We construct, by a procedure involving a dimensional reduction from a ChernSimons theory with borders, an effective theory for 1 + 1 dimensional superconductor. That system can be either in an ordinary phase or in a topological one, depending on the value of two phases, corresponding to complex order parameters. Finally, we argue that the original theory and its dimensionally reduced one can be related to the effective action for a quantum Dirac field in a slab geometry, coupled to a gauge field.
publishDate 2021
dc.date.none.fl_str_mv 2021-08
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/11336/167558
Fosco, Cesar Daniel; Schaposnik, Fidel Arturo; From D = 3 to D = 2 dimensions: A note on topological order; World Scientific; Modern Physics Letters A: Particles and Fields; Gravitation; Cosmology and Nuclear Physics; 36; 24; 8-2021; 1-14
0217-7323
1793-6632
CONICET Digital
CONICET
url http://hdl.handle.net/11336/167558
identifier_str_mv Fosco, Cesar Daniel; Schaposnik, Fidel Arturo; From D = 3 to D = 2 dimensions: A note on topological order; World Scientific; Modern Physics Letters A: Particles and Fields; Gravitation; Cosmology and Nuclear Physics; 36; 24; 8-2021; 1-14
0217-7323
1793-6632
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0217732321501637
info:eu-repo/semantics/altIdentifier/doi/10.1142/S0217732321501637
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 World Scientific
publisher.none.fl_str_mv World Scientific
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
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score 13.13397