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) |
|---|---|
| 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
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Beane, S. R., Bedaque, P. F., Childress, L., Kryjevski, A., McGuire, J., & Van Kolck, U. (2001). Singular potentials and limit cycles. Physical Review A. Atomic, Molecular, and Optical Physics, 64(4), 421031-421038. [042103]. https://doi.org/10.1103/PhysRevA.64.042103