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Singular potentials and limit cycles

2001; American Physical Society; Volume: 64; Issue: 4 Linguagem: Inglês

10.1103/physreva.64.042103

1538-4446

Silas R. Beane, Paulo F. Bedaque, Lilian Childress, Andrei Kryjevski, John K. McGuire, U. van Kolck,

Quantum chaos and dynamical systems

We show that a central ${1/r}^{n}$ 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.