Singular Potentials and Limit Cycles

Abstract

We show that a central $1/r^n$ singular potential (with $n\ge 2$) 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.

15 pages LaTex, 5 eps figures, error in figures and text corrected

References in corpus (4)

• The Three-Boson System with Short-Range Interactions
• Effective Field Theory of Nuclear Forces
• Renormalization of the Inverse Square Potential
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