Abstract
Singular potentials of the form 1/rn with n2 were studied in terms of renormalization theory. It was shown that the well-known pathologies near the origin were cured by a square-well counterterm that represented the effect of unknown short-distance physics. The renormalization-group evolution of this counterterm was found to have a periodic behavior. Singular potentials appeared to have a nonanalytical dependence on the coupling parameter even at weak coupling.
Original language | English (US) |
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Article number | 042103 |
Pages (from-to) | 421031-421038 |
Number of pages | 8 |
Journal | Physical Review A. Atomic, Molecular, and Optical Physics |
Volume | 64 |
Issue number | 4 |
DOIs | |
State | Published - Oct 2001 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics