English

Singular Potentials and Limit Cycles

Quantum Physics 2009-11-06 v2 Nuclear Theory Atomic Physics

Abstract

We show that a central 1/rn1/r^n singular potential (with n2n\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.

Keywords

Cite

@article{arxiv.quant-ph/0010073,
  title  = {Singular Potentials and Limit Cycles},
  author = {S. R. Beane and P. F. Bedaque and L. Childress and A. Kryjevski and J. McGuire and U. van Kolck},
  journal= {arXiv preprint arXiv:quant-ph/0010073},
  year   = {2009}
}

Comments

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