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 language | English (US) |
|---|---|
| Pages (from-to) | 421031-421038 |
| Number of pages | 8 |
| Journal | Physical Review A |
| Volume | 64 |
| Issue number | 4 |
| State | Published - Oct 2001 |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
Cite this
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 journal › Article
}
TY - JOUR
T1 - Singular potentials and limit cycles
AU - Beane, S. R.
AU - Bedaque, P. F.
AU - Childress, L.
AU - Kryjevski, A.
AU - McGuire, J.
AU - Van Kolck, Ubirajara
PY - 2001/10
Y1 - 2001/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0035471857&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035471857&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0035471857
VL - 64
SP - 421031
EP - 421038
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 4
ER -