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Renormalization Group Limit Cycles in Quantum Mechanical Problems

Erich J. Mueller·Tin-Lun Ho
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Abstract

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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Erich J. Mueller, Tin-Lun Ho. 2004-03-31. Renormalization Group Limit Cycles in Quantum Mechanical Problems. https://arxiv.org/abs/cond-mat/0403283

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