Renormalization of singular potentials and power counting
Renormalization of singular potentials and power counting
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DOI：
10.1016/j.aop.2008.01.003
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发表时间：
2007-07
影响因子：
3
通讯作者：
B. Long;U. V. Kolck;U. V. Kolck;U. V. Kolck
中科院分区：
文献类型：
--
作者：
B. Long;U. V. Kolck;U. V. Kolck;U. V. Kolck
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.
