Details

Autor(en) / Beteiligte

• Long, B.
• van Kolck, U.

Titel

Renormalization of singular potentials and power counting

Ist Teil von

• Annals of physics, 2008-06, Vol.323 (6), p.1304-1323

Ort / Verlag

New York: Elsevier Inc

Erscheinungsjahr

2008

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.