Implicit and explicit renormalization: two complementary views of effective interactions
arXiv:1407.8449
Abstract
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.
To appear in Annals of Physics
References in corpus (15)
- Similarity Renormalization Group for Nucleon-Nucleon Interactions
- Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
- In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
- In-Medium Similarity Renormalization Group for Open-Shell Nuclei
- Low-momentum interactions with smooth cutoffs
- Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
- Renormalization of chiral two-pion exchange NN interactions. Momentum vs. coordinate space
- Momentum space evolution of chiral three-nucleon forces
- Block Diagonalization using SRG Flow Equations
- Similarity Renormalization Group Evolution of Many-Body Forces in a One-Dimensional Model
- Nuclear Symmetries of the similarity renormalization group for nuclear forces
- Low scale saturation of Effective NN Interactions and their Symmetries
- The infrared limit of the Similarity Renormalization Group evolution and Levinson's theorem
- Similarity Renormalization Group for Few-Body Systems
- Separation of Scales in the More Effective Field Theory and Moszkowski-Scott Methods