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Singular Potentials and Limit Cycles

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

quant-pharXiv:quant-ph/0010073

Abstract

We show that a central 1/rn singular potential (with n≥ 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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