Perturbative renormalization in quantum few-body problems

• Autor(a) principal: Adhikari, Sadhan K. [UNESP]
• Data de Publicação: 1995
• Outros Autores: Frederico, T., Goldman, I. D.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1103/PhysRevLett.74.487; http://hdl.handle.net/11449/223836

As in quantum field theory, for some singular two-body potentials, the momentum-space perturbative treatment of the three-dimensional quantum N-body problem is shown to exhibit ultraviolet divergences. Renormalization of these models leads to a scale and finite observables. For a Dirac delta potential we carry on this renormalization for two- and three-body systems. A new divergence, and hence a new scale, emerges for each added particle. For N3 there are no divergences in one and two dimensions. The physical implications of these results are discussed. © 1995 The American Physical Society.