Nuclear Physics Seminar
Simplifying Many-Body Prolems with a Similarity Renormalization Group
Robert Perry (OSU)
I will focus on the unitary renormalization group flow of the nuclear
two-body interaction, illustrate that it displays a universal RG flow and
discuss why the resultant universal low-energy interaction will simplify
many-body calculations. For relevant low-energy scales, this interaction
is much softer than traditional hard core nuclear potentials, so strong
correlations are removed and accurate converged variational calculations
become feasible. These universal interactions are governed by two RG fixed
points that naturally emerge in a broad class of two-body problems where
long- and short-distance behaviors factorize. A unitary renormalization
group preserves both low- and high-energy observables, providing the
perfect tool for showing that these scales decouple. Three-body
interactions naturally appear and their RG flow should be driven by a
well-studied RG limit cycle. Movies are thanks to the calculations of
Scott Bogner and Dick Furnstahl.
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