Renormalization of the inverse square potential
- Autores
- Camblong, Horacio E.; Epele, Luis Nicolás; Fanchiotti, Huner; García Canal, Carlos Alberto
- Año de publicación
- 2000
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- The quantum-mechanical D-dimensional inverse square potential is analyzed using field-theoretic renormalization techniques. A solution is presented for both the bound-state and scattering sectors of the theory using cutoff and dimensional regularization. In the renormalized version of the theory, there is a strong-coupling regime where quantum-mechanical breaking of scale symmetry takes place through dimensional transmutation, with the creation of a single bound state and of an energy-dependent s-wave scattering matrix element.
Departamento de Física - Materia
-
Física
Ciencias Exactas
Inverse square potential
Scale symmetry - 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:10915/126142
Ver los metadatos del registro completo
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Renormalization of the inverse square potentialCamblong, Horacio E.Epele, Luis NicolásFanchiotti, HunerGarcía Canal, Carlos AlbertoFísicaCiencias ExactasInverse square potentialScale symmetryThe quantum-mechanical D-dimensional inverse square potential is analyzed using field-theoretic renormalization techniques. A solution is presented for both the bound-state and scattering sectors of the theory using cutoff and dimensional regularization. In the renormalized version of the theory, there is a strong-coupling regime where quantum-mechanical breaking of scale symmetry takes place through dimensional transmutation, with the creation of a single bound state and of an energy-dependent s-wave scattering matrix element.Departamento de Física2000-08-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1590-1593http://sedici.unlp.edu.ar/handle/10915/126142enginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.85.1590info:eu-repo/semantics/altIdentifier/issn/1079-7114info:eu-repo/semantics/altIdentifier/issn/0031-9007info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0003014info:eu-repo/semantics/altIdentifier/pmid/10970565info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevlett.85.1590info: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:UNLP2025-09-29T11:30:18Zoai:sedici.unlp.edu.ar:10915/126142Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:30:18.303SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Renormalization of the inverse square potential |
| title |
Renormalization of the inverse square potential |
| spellingShingle |
Renormalization of the inverse square potential Camblong, Horacio E. Física Ciencias Exactas Inverse square potential Scale symmetry |
| title_short |
Renormalization of the inverse square potential |
| title_full |
Renormalization of the inverse square potential |
| title_fullStr |
Renormalization of the inverse square potential |
| title_full_unstemmed |
Renormalization of the inverse square potential |
| title_sort |
Renormalization of the inverse square potential |
| 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 Ciencias Exactas Inverse square potential Scale symmetry |
| topic |
Física Ciencias Exactas Inverse square potential Scale symmetry |
| dc.description.none.fl_txt_mv |
The quantum-mechanical D-dimensional inverse square potential is analyzed using field-theoretic renormalization techniques. A solution is presented for both the bound-state and scattering sectors of the theory using cutoff and dimensional regularization. In the renormalized version of the theory, there is a strong-coupling regime where quantum-mechanical breaking of scale symmetry takes place through dimensional transmutation, with the creation of a single bound state and of an energy-dependent s-wave scattering matrix element. Departamento de Física |
| description |
The quantum-mechanical D-dimensional inverse square potential is analyzed using field-theoretic renormalization techniques. A solution is presented for both the bound-state and scattering sectors of the theory using cutoff and dimensional regularization. In the renormalized version of the theory, there is a strong-coupling regime where quantum-mechanical breaking of scale symmetry takes place through dimensional transmutation, with the creation of a single bound state and of an energy-dependent s-wave scattering matrix element. |
| publishDate |
2000 |
| dc.date.none.fl_str_mv |
2000-08-21 |
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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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publishedVersion |
| dc.identifier.none.fl_str_mv |
http://sedici.unlp.edu.ar/handle/10915/126142 |
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| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
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