Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : I. General Theory

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 renor...

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Detalles Bibliográficos
Autores principales: Camblong, Horacio E., Epele, Luis Nicolás, Fanchiotti, Huner, García Canal, Carlos Alberto
Formato: Articulo
Lenguaje:Inglés
Publicado: 2001
Materias:
Física
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/131217
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-131217
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
spellingShingle Física
Camblong, Horacio E.
Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : I. General Theory
topic_facet Física
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.
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 Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : I. General Theory
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
publishDate 2001
url http://sedici.unlp.edu.ar/handle/10915/131217
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bdutipo_str Repositorios
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