Limit Cycles from the Similarity Renormalization Group

P. Niemann; H. -W. Hammer

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arXiv · 1504.04511

Limit Cycles from the Similarity Renormalization Group

P. Niemann·H. -W. Hammer

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Abstract

We investigate renormalization group limit cycles within the similarity renormalization group (SRG) and discuss their signatures in the evolved interaction. A quantitative method to detect limit cycles in the interaction and to extract their period is proposed. Several SRG generators are compared regarding their suitability for this purpose. As a test case, we consider the limit cycle of the inverse square potential.

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P. Niemann, H. -W. Hammer. 2015-04-17. Limit Cycles from the Similarity Renormalization Group. https://arxiv.org/abs/1504.04511

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