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arXiv · quant-ph/0010073

Singular Potentials and Limit Cycles

S. R. Beane·P. F. Bedaque·L. Childress·A. Kryjevski·J. McGuire·U. van Kolck
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Abstract

We show that a central $1/r^n$ singular potential (with $n\geq 2$) is renormalized by a one-parameter square-well counterterm; low-energy observables are made independent of the square-well width by adjusting the square-well strength. We find a closed form expression for the renormalization-group evolution of the square-well counterterm.

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S. R. Beane, P. F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, U. van Kolck. 2001-04-06. Singular Potentials and Limit Cycles. https://doi.org/10.1103/physreva.64.042103

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