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
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/131217
Ver los metadatos del registro completo
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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:UNLP2025-09-29T11:31:17Zoai: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:13292025-09-29 11:31:17.879SEDICI (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 |
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2001 |
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eng |
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eng |
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