Renormalization of Singular Potentials and Power Counting
| dc.creator | Long, B. | |
| dc.creator | van Kolck, U. | |
| dc.date | 2007-07-30 | |
| dc.date | 2008-02-07 | |
| dc.date.accessioned | 2026-07-07T11:37:01Z | |
| dc.date.available | 2026-07-07T11:37:01Z | |
| dc.description | 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. | |
| dc.description | 23 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0707.4325 | |
| dc.identifier | http://arxiv.org/abs/0707.4325 | |
| dc.identifier | AnnalsPhys.323:1304-1323,2008 | |
| dc.identifier | doi:10.1016/j.aop.2008.01.003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/199063 | |
| dc.subject | Quantum Physics | |
| dc.subject | Nuclear Theory | |
| dc.subject | Atomic Physics | |
| dc.title | Renormalization of Singular Potentials and Power Counting | |
| dc.type | text |