https://doi.org/10.1140/epja/i2011-11122-4
Regular Article - Theoretical Physics
The similarity renormalization group for three-body interactions in one dimension
Department of Fundamental Physics, Chalmers University of Technology, SE-412 96, Gothenburg, Sweden
* e-mail: platter@chalmers.se
Received:
16
July
2011
Revised:
19
September
2011
Accepted:
20
September
2011
Published online:
19
October
2011
We report on recent progress of the implementation of the similarity renormalization group (SRG) for three-body interactions in a one-dimensional, bosonic model system using the plane-wave basis. We discuss our implementation of the flow equations and show results that confirm that results in the three-body sector remain unchanged by the transformation of the Hamiltonian. We also show how the SRG transformation decouples low- from high-momentum nodes in the three-body sector and therefore simplifies the numerical calculation of observables.
© SIF, Springer-Verlag Berlin Heidelberg, 2011