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Singular Potentials and Limit Cycles

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arxiv quant-ph/0010073 v2 pith:ODT5AXGE submitted 2000-10-19 quant-ph nucl-thphysics.atom-ph

S.R. Beane , P.F. Bedaque , L. Childress , A. Kryjevski , J. McGuire , U. van Kolck This is my paper · ORCID
classification quant-phnucl-thphysics.atom-ph
keywords square-wellcountertermsingularadjustingcentralclosedcyclesevolution
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abstract

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

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Forward citations

Cited by 5 Pith papers

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  3. From 2D Yang-Mills to Calogero-Sutherland via a colored particle

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  4. Auxiliary counterterms and their role in effective field theory

    nucl-th 2026-03 unverdicted novelty 5.0 of 10

    Auxiliary counterterms provide exact cutoff independence in EFTs but encode no new physics and aid renormalization consistency and convergence.

  5. Effect of Cosmic Neutrino Background on the Dark Matter Self-interaction via Neutrino force

    hep-ph 2025-09 conditional novelty 5.0 of 10

    The cosmic neutrino background screens the neutrino-pair force between scalar dark matter particles for m_chi below the CnuB temperature, reshaping SIDM parameter space and eliminating Sommerfeld enhancement.

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