Renormalization of singular potentials and power counting
Journal Article
·
· Annals of Physics (New York)
- Department of Physics, University of Arizona, 1118 E. 4th Street, Tucson, AZ 85721 (United States)
We use a toy model to illustrate how to build effective theories for singular potentials. We consider a central attractive 1/r{sup 2} potential perturbed by a 1/r{sup 4} correction. The power-counting rule, an important ingredient of effective theory, is established by seeking the minimum set of short-range counterterms that renormalize the scattering amplitude. We show that leading-order counterterms are needed in all partial waves where the potential overcomes the centrifugal barrier, and that the additional counterterms at next-to-leading order are the ones expected on the basis of dimensional analysis.
- OSTI ID:
- 21163698
- Journal Information:
- Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 6 Vol. 323; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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