Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : I. General Theory

Autores
Camblong, Horacio E.; Epele, Luis Nicolás; Fanchiotti, Huner; García Canal, Carlos Alberto
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This is the first in a series of papers addressing the phenomenon of dimensional transmutation in nonrelativistic quantum mechanics within the framework of dimensional regularization. Scale-invariant potentials are identified and their general properties are derived. A strategy for dimensional renormalization of these systems in the strong-coupling regime is presented, and the emergence of an energy scale is shown, both for the bound-state and scattering sectors. Finally, dimensional transmutation is explicitly illustrated for the two-dimensional delta-function potential.
Facultad de Ciencias Exactas
Materia
Física
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/131217
Acceder
id SEDICI_6e17dd5f66d4abfe752bca7205f045bc
oai_identifier_str oai:sedici.unlp.edu.ar:10915/131217
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : I. General TheoryCamblong, Horacio E.Epele, Luis NicolásFanchiotti, HunerGarcía Canal, Carlos AlbertoFísicaThis is the first in a series of papers addressing the phenomenon of dimensional transmutation in nonrelativistic quantum mechanics within the framework of dimensional regularization. Scale-invariant potentials are identified and their general properties are derived. A strategy for dimensional renormalization of these systems in the strong-coupling regime is presented, and the emergence of an energy scale is shown, both for the bound-state and scattering sectors. Finally, dimensional transmutation is explicitly illustrated for the two-dimensional delta-function potential.Facultad de Ciencias Exactas2001info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf14-56http://sedici.unlp.edu.ar/handle/10915/131217enginfo:eu-repo/semantics/altIdentifier/issn/0003-4916info:eu-repo/semantics/altIdentifier/issn/1096-035xinfo:eu-repo/semantics/altIdentifier/arxiv/hep-th/0003255info:eu-repo/semantics/altIdentifier/doi/10.1006/aphy.2000.6092info:eu-repo/semantics/reference/hdl/10915/129658info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:12:12Zoai:sedici.unlp.edu.ar:10915/131217Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:12:12.635SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : I. General Theory
title Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : I. General Theory
spellingShingle Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : I. General Theory
Camblong, Horacio E.
Física
title_short Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : I. General Theory
title_full Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : I. General Theory
title_fullStr Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : I. General Theory
title_full_unstemmed Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : I. General Theory
title_sort Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : I. General Theory
dc.creator.none.fl_str_mv Camblong, Horacio E.
Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
author Camblong, Horacio E.
author_facet Camblong, Horacio E.
Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
author_role author
author2 Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
author2_role author
author
author
dc.subject.none.fl_str_mv Física
topic Física
dc.description.none.fl_txt_mv This is the first in a series of papers addressing the phenomenon of dimensional transmutation in nonrelativistic quantum mechanics within the framework of dimensional regularization. Scale-invariant potentials are identified and their general properties are derived. A strategy for dimensional renormalization of these systems in the strong-coupling regime is presented, and the emergence of an energy scale is shown, both for the bound-state and scattering sectors. Finally, dimensional transmutation is explicitly illustrated for the two-dimensional delta-function potential.
Facultad de Ciencias Exactas
description This is the first in a series of papers addressing the phenomenon of dimensional transmutation in nonrelativistic quantum mechanics within the framework of dimensional regularization. Scale-invariant potentials are identified and their general properties are derived. A strategy for dimensional renormalization of these systems in the strong-coupling regime is presented, and the emergence of an energy scale is shown, both for the bound-state and scattering sectors. Finally, dimensional transmutation is explicitly illustrated for the two-dimensional delta-function potential.
publishDate 2001
dc.date.none.fl_str_mv 2001
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/10915/131217
url http://sedici.unlp.edu.ar/handle/10915/131217
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0003-4916
info:eu-repo/semantics/altIdentifier/issn/1096-035x
info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0003255
info:eu-repo/semantics/altIdentifier/doi/10.1006/aphy.2000.6092
info:eu-repo/semantics/reference/hdl/10915/129658
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
14-56
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
_version_ 1846783479740628992
score 12.982451

Publicaciones similares