Testing spatial noncommutativity via the Aharonov-Bohm effect

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 pro...

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Detalles Bibliográficos
Autores principales: Falomir, Horacio Alberto, Gamboa, J., Loewe, M., Méndez, F., Rojas, J. C.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2002
Materias:
Física
Space (mathematics)
Physics
Aharonov–Bohm effect
Scattering amplitude
Bound state
Scattering
Noncommutative quantum field theory
Holonomy
Quantum mechanics
Noncommutative geometry
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126232
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126232
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Space (mathematics)
Physics
Aharonov–Bohm effect
Scattering amplitude
Bound state
Scattering
Noncommutative quantum field theory
Holonomy
Quantum mechanics
Noncommutative geometry
spellingShingle Física
Space (mathematics)
Physics
Aharonov–Bohm effect
Scattering amplitude
Bound state
Scattering
Noncommutative quantum field theory
Holonomy
Quantum mechanics
Noncommutative geometry
Falomir, Horacio Alberto
Gamboa, J.
Loewe, M.
Méndez, F.
Rojas, J. C.
Testing spatial noncommutativity via the Aharonov-Bohm effect
topic_facet Física
Space (mathematics)
Physics
Aharonov–Bohm effect
Scattering amplitude
Bound state
Scattering
Noncommutative quantum field theory
Holonomy
Quantum mechanics
Noncommutative geometry
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.
format Articulo
Articulo
author Falomir, Horacio Alberto
Gamboa, J.
Loewe, M.
Méndez, F.
Rojas, J. C.
author_facet Falomir, Horacio Alberto
Gamboa, J.
Loewe, M.
Méndez, F.
Rojas, J. C.
author_sort Falomir, Horacio Alberto
title Testing spatial noncommutativity via the Aharonov-Bohm effect
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
publishDate 2002
url http://sedici.unlp.edu.ar/handle/10915/126232
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