Artículos de revistas
Perturbative renormalization in quantum few-body problems
Fecha
1995-01-01Registro en:
Physical Review Letters, v. 74, n. 4, p. 487-491, 1995.
0031-9007
10.1103/PhysRevLett.74.487
2-s2.0-0001535055
Autor
Universidade Estadual Paulista (UNESP)
Centro Técnico Aeroespacial, Instituto de Estudos Avançados
Universidade de São Paulo (USP)
Institución
Resumen
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.