English

Limit Cycles from the Similarity Renormalization Group

Nuclear Theory 2015-04-20 v1 Quantum Physics

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.

Keywords

Cite

@article{arxiv.1504.04511,
  title  = {Limit Cycles from the Similarity Renormalization Group},
  author = {P. Niemann and H. -W. Hammer},
  journal= {arXiv preprint arXiv:1504.04511},
  year   = {2015}
}

Comments

11 pages, 6 figures

R2 v1 2026-06-22T09:17:53.105Z