Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance
- 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
- A thorough analysis is presented of the class of central fields of force that exhibit: (i) dimensional transmutation and (ii) rotational invariance. Using dimensional regularization, the two-dimensional delta-function potential an d the D-dimensional inverse square potential are studied. In particular, the following features are analyzed: the existence of a critical coupling, the boundary condition at the origin, the relationship between the bound-state and scattering sectors, and the similarities displayed by both potentials. It is found that, for rotationally symmetric scale-invariant potentials, there is a strong-coupling regime, for which quantum-mechanical breaking of symmetry takes place, with the appearance of a unique bound state as well as of a logarithmic energy dependence of the scattering with respect to the energy.
Facultad de Ciencias Exactas - Materia
-
Física
Quantum Mechanics
Dimensional transmutation
Rotational invariance - 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:10915/129658
Ver los metadatos del registro completo
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Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational InvarianceCamblong, Horacio E.Epele, Luis NicolásFanchiotti, HunerGarcía Canal, Carlos AlbertoFísicaQuantum MechanicsDimensional transmutationRotational invarianceA thorough analysis is presented of the class of central fields of force that exhibit: (i) dimensional transmutation and (ii) rotational invariance. Using dimensional regularization, the two-dimensional delta-function potential an d the D-dimensional inverse square potential are studied. In particular, the following features are analyzed: the existence of a critical coupling, the boundary condition at the origin, the relationship between the bound-state and scattering sectors, and the similarities displayed by both potentials. It is found that, for rotationally symmetric scale-invariant potentials, there is a strong-coupling regime, for which quantum-mechanical breaking of symmetry takes place, with the appearance of a unique bound state as well as of a logarithmic energy dependence of the scattering with respect to the energy.Facultad de Ciencias Exactas2001info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf57-100http://sedici.unlp.edu.ar/handle/10915/129658enginfo:eu-repo/semantics/altIdentifier/issn/0003-4916info:eu-repo/semantics/altIdentifier/issn/1096-035Xinfo:eu-repo/semantics/altIdentifier/arxiv/hep-th/0003267info:eu-repo/semantics/altIdentifier/doi/10.1006/aphy.2000.6093info:eu-repo/semantics/reference/hdl/10915/131217info: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:UNLP2025-10-22T17:12:11Zoai:sedici.unlp.edu.ar:10915/129658Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:12:11.815SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance |
| title |
Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance |
| spellingShingle |
Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance Camblong, Horacio E. Física Quantum Mechanics Dimensional transmutation Rotational invariance |
| title_short |
Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance |
| title_full |
Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance |
| title_fullStr |
Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance |
| title_full_unstemmed |
Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance |
| title_sort |
Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance |
| 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 Quantum Mechanics Dimensional transmutation Rotational invariance |
| topic |
Física Quantum Mechanics Dimensional transmutation Rotational invariance |
| dc.description.none.fl_txt_mv |
A thorough analysis is presented of the class of central fields of force that exhibit: (i) dimensional transmutation and (ii) rotational invariance. Using dimensional regularization, the two-dimensional delta-function potential an d the D-dimensional inverse square potential are studied. In particular, the following features are analyzed: the existence of a critical coupling, the boundary condition at the origin, the relationship between the bound-state and scattering sectors, and the similarities displayed by both potentials. It is found that, for rotationally symmetric scale-invariant potentials, there is a strong-coupling regime, for which quantum-mechanical breaking of symmetry takes place, with the appearance of a unique bound state as well as of a logarithmic energy dependence of the scattering with respect to the energy. Facultad de Ciencias Exactas |
| description |
A thorough analysis is presented of the class of central fields of force that exhibit: (i) dimensional transmutation and (ii) rotational invariance. Using dimensional regularization, the two-dimensional delta-function potential an d the D-dimensional inverse square potential are studied. In particular, the following features are analyzed: the existence of a critical coupling, the boundary condition at the origin, the relationship between the bound-state and scattering sectors, and the similarities displayed by both potentials. It is found that, for rotationally symmetric scale-invariant potentials, there is a strong-coupling regime, for which quantum-mechanical breaking of symmetry takes place, with the appearance of a unique bound state as well as of a logarithmic energy dependence of the scattering with respect to the energy. |
| publishDate |
2001 |
| dc.date.none.fl_str_mv |
2001 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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http://sedici.unlp.edu.ar/handle/10915/129658 |
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eng |
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eng |
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openAccess |
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