Renormalization Group Limit Cycles in Quantum Mechanical Problems

Details Renormalization Group Limit Cycles in Quantum Mechanical Problems Renormalization Group Limit Cycles in Quantum Mechanical Problems

2004-03-10

arxiv.org/abs/cond-mat/0403283v2

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 figures (1 BW, 1 color), RevTeX4; ver2: updated references; Due to strong overlap with [Kolomeisky and Straley, Phy

Scientific paper

We formulate a renormalization group (RG) for the interaction parameters of
the general two-body problem and show how a limit cycle emerges in the RG flow
if the interaction approaches an inverse square law. This limit cycle generates
a scaling structure in the energy spectrum. Our demonstration is relevant to
the Efimov problem in nuclear physics where similar scaling appears.

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