Renormalization of singular potentials and power counting
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Academic Press Inc. Elsevier B.V.
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We use a toy model to illustrate how to build effective theories for singular potentials. We consider a central attractive 1/r(2) potential perturbed by a 1/r(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. (C) 2008 Elsevier B.V. All rights reserved.
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renormalization, singular potentials, effective field theory, power counting rule
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Inglês
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Annals of Physics. San Diego: Academic Press Inc. Elsevier B.V., v. 323, n. 6, p. 1304-1323, 2008.
