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...

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Autores principales: Camblong, Horacio E., Epele, Luis Nicolás, Fanchiotti, Huner, García Canal, Carlos Alberto
Formato: Articulo
Lenguaje:Inglés
Publicado: 2000
Materias:
Física
Ciencias Exactas
Inverse square potential
Scale symmetry
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126142
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.85.1590
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126142
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
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AT epeleluisnicolas renormalizationoftheinversesquarepotential
AT fanchiottihuner renormalizationoftheinversesquarepotential
AT garciacanalcarlosalberto renormalizationoftheinversesquarepotential
bdutipo_str Repositorios
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