Singular potentials and limit cycles

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

doi:10.1103/PhysRevA.64.042103

Singular potentials and limit cycles

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

Physics

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122 Scopus citations

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	https://doi.org/10.1103/PhysRevA.64.042103
State	Published - Oct 2001

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.64.042103

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AU - Bedaque, P. F.

AU - Childress, L.

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AU - McGuire, J.

AU - Van Kolck, U.

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Singular potentials and limit cycles

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