Symmetries of the Similarity Renormalization Group for Nuclear Forces

Abstract

We analyze the role played by Long Distance Symmetries within the context of the Similarity Renormalization Group (SRG) approach, which is based on phase-shift preserving continuous unitary transformations that evolve hamiltonians with a cutoff on energy differences. We find that there is a SRG cutoff for which almost perfect fulfillment of Wigner symmetry is found. We discuss the possible consequences of such finding.

16 pages, 6 figures, to appear in Physical Review C

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Cited by in corpus (13)

• New applications of renormalization group methods in nuclear physics
• Hidden spin-isospin exchange symmetry
• Heavy-hadron molecular spectrum from light-meson exchange saturation
• Implicit vs Explicit Renormalization and Effective Interactions
• Wigner SU(4) symmetry, clustering, and the spectrum of ${}^{12}$C
• Fixed points of the Similarity Renormalization Group and the Nuclear Many-Body Problem
• Universality in Similarity Renormalization Group Evolved Potential Matrix Elements and T-Matrix Equivalence
• Implicit and explicit renormalization: two complementary views of effective interactions
• The infrared limit of the Similarity Renormalization Group evolution and Levinson's theorem
• Fixed points of the SRG evolution and the on-shell limit of the nuclear force
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations
• Nuclear Binding Energies and NN uncertainties
• On-shell transition of SRG and nuclear systems