Testing spatial noncommutativity via the Aharonov-Bohm effect

Autores
Falomir, Horacio Alberto; Gamboa, J.; Loewe, M.; Méndez, F.; Rojas, J. C.
Año de publicación
2002
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The possibility of detecting noncommutative space relics is analyzed using the Aharonov-Bohm effect. We show that, if space is noncommutative, the holonomy receives nontrivial kinematical corrections that will produce a diffraction pattern even when the magnetic flux is quantized. The scattering problem is also formulated, and the differential cross section is calculated. Our results can be extrapolated to high energy physics and the bound θ∼[ 10 TeV ]⁻² is found. If this bound holds, then noncommutative effects could be explored in scattering experiments measuring differential cross sections for small angles. The bound state Aharonov-Bohm effect is also discussed.
Instituto de Física La Plata
Materia
Física
Space (mathematics)
Physics
Aharonov–Bohm effect
Scattering amplitude
Bound state
Scattering
Noncommutative quantum field theory
Holonomy
Quantum mechanics
Noncommutative geometry
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/126232
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/126232
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Testing spatial noncommutativity via the Aharonov-Bohm effectFalomir, Horacio AlbertoGamboa, J.Loewe, M.Méndez, F.Rojas, J. C.FísicaSpace (mathematics)PhysicsAharonov–Bohm effectScattering amplitudeBound stateScatteringNoncommutative quantum field theoryHolonomyQuantum mechanicsNoncommutative geometryThe possibility of detecting noncommutative space relics is analyzed using the Aharonov-Bohm effect. We show that, if space is noncommutative, the holonomy receives nontrivial kinematical corrections that will produce a diffraction pattern even when the magnetic flux is quantized. The scattering problem is also formulated, and the differential cross section is calculated. Our results can be extrapolated to high energy physics and the bound θ∼[ 10 TeV ]⁻² is found. If this bound holds, then noncommutative effects could be explored in scattering experiments measuring differential cross sections for small angles. The bound state Aharonov-Bohm effect is also discussed.Instituto de Física La Plata2002-08-20info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/126232enginfo:eu-repo/semantics/altIdentifier/issn/0556-2821info:eu-repo/semantics/altIdentifier/issn/1089-4918info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0203260info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevd.66.045018info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:22:06Zoai:sedici.unlp.edu.ar:10915/126232Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:22:06.374SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Testing spatial noncommutativity via the Aharonov-Bohm effect
title Testing spatial noncommutativity via the Aharonov-Bohm effect
spellingShingle Testing spatial noncommutativity via the Aharonov-Bohm effect
Falomir, Horacio Alberto
Física
Space (mathematics)
Physics
Aharonov–Bohm effect
Scattering amplitude
Bound state
Scattering
Noncommutative quantum field theory
Holonomy
Quantum mechanics
Noncommutative geometry
title_short Testing spatial noncommutativity via the Aharonov-Bohm effect
title_full Testing spatial noncommutativity via the Aharonov-Bohm effect
title_fullStr Testing spatial noncommutativity via the Aharonov-Bohm effect
title_full_unstemmed Testing spatial noncommutativity via the Aharonov-Bohm effect
title_sort Testing spatial noncommutativity via the Aharonov-Bohm effect
dc.creator.none.fl_str_mv Falomir, Horacio Alberto
Gamboa, J.
Loewe, M.
Méndez, F.
Rojas, J. C.
author Falomir, Horacio Alberto
author_facet Falomir, Horacio Alberto
Gamboa, J.
Loewe, M.
Méndez, F.
Rojas, J. C.
author_role author
author2 Gamboa, J.
Loewe, M.
Méndez, F.
Rojas, J. C.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Física
Space (mathematics)
Physics
Aharonov–Bohm effect
Scattering amplitude
Bound state
Scattering
Noncommutative quantum field theory
Holonomy
Quantum mechanics
Noncommutative geometry
topic Física
Space (mathematics)
Physics
Aharonov–Bohm effect
Scattering amplitude
Bound state
Scattering
Noncommutative quantum field theory
Holonomy
Quantum mechanics
Noncommutative geometry
dc.description.none.fl_txt_mv The possibility of detecting noncommutative space relics is analyzed using the Aharonov-Bohm effect. We show that, if space is noncommutative, the holonomy receives nontrivial kinematical corrections that will produce a diffraction pattern even when the magnetic flux is quantized. The scattering problem is also formulated, and the differential cross section is calculated. Our results can be extrapolated to high energy physics and the bound θ∼[ 10 TeV ]⁻² is found. If this bound holds, then noncommutative effects could be explored in scattering experiments measuring differential cross sections for small angles. The bound state Aharonov-Bohm effect is also discussed.
Instituto de Física La Plata
description The possibility of detecting noncommutative space relics is analyzed using the Aharonov-Bohm effect. We show that, if space is noncommutative, the holonomy receives nontrivial kinematical corrections that will produce a diffraction pattern even when the magnetic flux is quantized. The scattering problem is also formulated, and the differential cross section is calculated. Our results can be extrapolated to high energy physics and the bound θ∼[ 10 TeV ]⁻² is found. If this bound holds, then noncommutative effects could be explored in scattering experiments measuring differential cross sections for small angles. The bound state Aharonov-Bohm effect is also discussed.
publishDate 2002
dc.date.none.fl_str_mv 2002-08-20
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/126232
url http://sedici.unlp.edu.ar/handle/10915/126232
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0556-2821
info:eu-repo/semantics/altIdentifier/issn/1089-4918
info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0203260
info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevd.66.045018
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.22299

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