Implicit vs explicit renormalization and effective interactions

Autor(es)

Ruiz Arriola, E. ^{[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 1, E-18071 Granada - Spain

^[3] Univ Presbiteriana Mackenzie, Fac Computacao & Informat, Sao Paulo - Brazil

^[4] Univ Estadual Campinas, UNICAMP, Grp Opt & Modelagem Numer GOMNI, Fac Tecnol, BR-13081970 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Physics Letters B; v. 728, p. 596-601, JAN 20 2014.
• Citações Web of Science: 11

Resumo

Effective interactions can be obtained from a renormalization group analysis in two complementary ways. One can either explicitly integrate out higher energy modes or impose given conditions at low energies for a cut-off theory. While the first method is numerically involved, the second one can be solved almost analytically. In both cases we compare the outcoming effective interactions for the two nucleon system as functions of the cut-off scale and find a strikingly wide energy region where both approaches overlap, corresponding to relevant scales in light nuclei Lambda less than or similar to 200 MeV. This amounts to a great simplification in the determination of the effective interaction parameters. (C) 2013 The Authors. Published by Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 11/18211-2 - A força nuclear e o grupo de renormalização
• Beneficiário: Varese Salvador Timoteo
• Linha de fomento: Auxílio à Pesquisa - Regular