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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Detalles Bibliográficos
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
Descripción
Sumario: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.

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