Singular potentials and limit cycles

S. R. Beane, P. F. Bedaque, L. Childress, A. Kryjevski, J. McGuire, Ubirajara Van Kolck

Research output: Contribution to journalArticle

110 Citations (Scopus)

Abstract

Singular potentials of the form 1/rn with n≥2 were studied in terms of renormalization theory. It was shown that the well-known pathologies near the origin were cured by a square-well counterterm that represented the effect of unknown short-distance physics. The renormalization-group evolution of this counterterm was found to have a periodic behavior. Singular potentials appeared to have a nonanalytical dependence on the coupling parameter even at weak coupling.

Original languageEnglish (US)
Pages (from-to)421031-421038
Number of pages8
JournalPhysical Review A
Volume64
Issue number4
StatePublished - Oct 2001

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cycles
square wells
pathology
physics

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Physics and Astronomy(all)

Cite this

Beane, S. R., Bedaque, P. F., Childress, L., Kryjevski, A., McGuire, J., & Van Kolck, U. (2001). Singular potentials and limit cycles. Physical Review A, 64(4), 421031-421038.

Singular potentials and limit cycles. / Beane, S. R.; Bedaque, P. F.; Childress, L.; Kryjevski, A.; McGuire, J.; Van Kolck, Ubirajara.

In: Physical Review A, Vol. 64, No. 4, 10.2001, p. 421031-421038.

Research output: Contribution to journalArticle

Beane, SR, Bedaque, PF, Childress, L, Kryjevski, A, McGuire, J & Van Kolck, U 2001, 'Singular potentials and limit cycles', Physical Review A, vol. 64, no. 4, pp. 421031-421038.
Beane SR, Bedaque PF, Childress L, Kryjevski A, McGuire J, Van Kolck U. Singular potentials and limit cycles. Physical Review A. 2001 Oct;64(4):421031-421038.
Beane, S. R. ; Bedaque, P. F. ; Childress, L. ; Kryjevski, A. ; McGuire, J. ; Van Kolck, Ubirajara. / Singular potentials and limit cycles. In: Physical Review A. 2001 ; Vol. 64, No. 4. pp. 421031-421038.
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