Implicit and explicit renormalization: Two complementary views of effective interactions

Autor(es)

Arriola, E. Ruiz ^{[1, 2]} ; Szpigel, S. ^[3] ; Timoteo, V. S. ^[4]

Afiliação do(s) autor(es)

^[1] Univ Granada, Dept Fis Atom Mol & Nucl, E-18071 Granada - Spain

^[2] Univ Granada, Inst Carlos & Fis Teor & Computac, E-18071 Granada - Spain

^[3] Univ Presbiteriana Mackenzie, Escola Engn, Ctr Reidio Astron & Astrofis Mackenzie, BR-01302907 Sao Paulo, SP - Brazil

^[4] Univ Estadual Campinas, Fac Technol, Grp Opt & Modelagem Numer, BR-13484332 Limeira, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ANNALS OF PHYSICS; v. 353, p. 129-149, FEB 2015.
• Citações Web of Science: 4

Resumo

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. (C) 2014 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 14/04975-9 - Das forças de dois nucleons aos núcleos leves com o grupo de renormalização de similaridade
• Beneficiário: Varese Salvador Timoteo
• Modalidade de apoio: Auxílio à Pesquisa - Regular