Renormalization of the inverse square potential
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, th...
Guardado en:
Autores principales: | , , , |
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Formato: | Articulo |
Lenguaje: | Inglés |
Publicado: |
2000
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Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/126142 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.85.1590 |
Aporte de: |
id |
I19-R120-10915-126142 |
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record_format |
dspace |
institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
collection |
SEDICI (UNLP) |
language |
Inglés |
topic |
Física Ciencias Exactas Inverse square potential Scale symmetry |
spellingShingle |
Física Ciencias Exactas Inverse square potential Scale symmetry Camblong, Horacio E. Epele, Luis Nicolás Fanchiotti, Huner García Canal, Carlos Alberto Renormalization of the inverse square potential |
topic_facet |
Física Ciencias Exactas Inverse square potential Scale symmetry |
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. |
format |
Articulo Articulo |
author |
Camblong, Horacio E. Epele, Luis Nicolás Fanchiotti, Huner García Canal, Carlos Alberto |
author_facet |
Camblong, Horacio E. Epele, Luis Nicolás Fanchiotti, Huner García Canal, Carlos Alberto |
author_sort |
Camblong, Horacio E. |
title |
Renormalization of the inverse square potential |
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 |
publishDate |
2000 |
url |
http://sedici.unlp.edu.ar/handle/10915/126142 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.85.1590 |
work_keys_str_mv |
AT camblonghoracioe renormalizationoftheinversesquarepotential AT epeleluisnicolas renormalizationoftheinversesquarepotential AT fanchiottihuner renormalizationoftheinversesquarepotential AT garciacanalcarlosalberto renormalizationoftheinversesquarepotential |
bdutipo_str |
Repositorios |
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1764820450138914816 |