Implicit and explicit renormalization: Two complementary views of effective interactions
| dc.contributor.author | Ruiz Arriola E. | |
| dc.contributor.author | Szpigel S. | |
| dc.contributor.author | Timoteo V.S. | |
| dc.date.accessioned | 2024-03-13T00:57:50Z | |
| dc.date.available | 2024-03-13T00:57:50Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | © 2014 Elsevier Inc.We analyze quantitatively the interplay between explicit and implicit renormalization in Nuclear Physics. By explicit renormalization we mean to integrate out higher energy modes below a given cutoff scale using the similarity renormalization group (SRG) with a block-diagonal evolution generator, which separates the total Hilbert-space into a model space and its complementary. In the implicit renormalization we impose given conditions at low energies for a cutoff theory. In both cases we compare the outcoming effective interactions as functions of the cutoff scale. We carry out a comprehensive analysis of a toy-model which captures the main features of the nucleon-nucleon (. NN) S-wave interaction at low energies. We find a wide energy region where both approaches overlap. This amounts to a great simplification in the determination of the effective interaction. Actually, the outcoming scales are within the expected ones relevant for the physics of light nuclei. | |
| dc.description.firstpage | 129 | |
| dc.description.lastpage | 149 | |
| dc.description.volume | 353 | |
| dc.identifier.doi | 10.1016/j.aop.2014.11.010 | |
| dc.identifier.issn | 0003-4916 | |
| dc.identifier.uri | https://dspace.mackenzie.br/handle/10899/36234 | |
| dc.relation.ispartof | Annals of Physics | |
| dc.rights | Acesso Restrito | |
| dc.subject.otherlanguage | Nuclear force | |
| dc.subject.otherlanguage | Renormalization | |
| dc.subject.otherlanguage | Similarity renormalization group | |
| dc.title | Implicit and explicit renormalization: Two complementary views of effective interactions | |
| dc.type | Artigo | |
| local.scopus.citations | 13 | |
| local.scopus.eid | 2-s2.0-84919481110 | |
| local.scopus.updated | 2024-05-01 | |
| local.scopus.url | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84919481110&origin=inward |