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)|
|Number of pages||8|
|Journal||Physical Review A. Atomic, Molecular, and Optical Physics|
|State||Published - Oct 2001|
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics