  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.
