Published January 23, 1995
| Version v1
Journal article
Perturbative Renormalization in Quantum Few-Body Problems
- 1. Instituto de Fisica, Universidade de Sao Paulo, 01498 Sao Paulo, Sao Paulo (Brazil)
- 2. Centro Tecnico Aeroespacial, Instituto de Estudos Avancados, 12231 Sao Jose dos Campos, Sao Paulo (Brazil)
- 3. Instituto de Fisica Teorica, Universidade Estadual Paulista, 01405 Sao Paulo, Sao Paulo (Brazil)
Description
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 N≥3 there are no divergences in one and two dimensions. The physical implications of these results are discussed
Additional details
Publishing Information
- Journal Title
- Physical Review Letters
- Journal Volume
- 74
- Journal Issue
- 4
- Journal Page Range
- p. 487-491.
- ISSN
- 0031-9007
- CODEN
- PRLTAO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 26048130
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- PERTURBATION THEORY; POTENTIALS; QUANTUM FIELD THEORY; RENORMALIZATION; THREE-BODY PROBLEM; THREE-DIMENSIONAL CALCULATIONS; TWO-BODY PROBLEM
- Descriptors DEC
- FIELD THEORIES; MANY-BODY PROBLEM