Singular potentials and limit cycles

S. R. Beane, P. F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. Van Kolck

Research output: Contribution to journalArticlepeer-review

141 Scopus citations


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 languageEnglish (US)
Article number042103
Pages (from-to)421031-421038
Number of pages8
JournalPhysical Review A. Atomic, Molecular, and Optical Physics
Issue number4
StatePublished - Oct 2001

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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