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arXiv · hep-th/0611015

Limit cycles of effective theories

Stanislaw D. Glazek
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Abstract

A simple example is used to show that renormalization group limit cycles of effective quantum theories can be studied in a new way. The method is based on the similarity renormalization group procedure for Hamiltonians. The example contains a logarithmic ultraviolet divergence that is generated by both real and imaginary parts of the Hamiltonian matrix elements. Discussion of the example includes a connection between asymptotic freedom with one scale of bound states and the limit cycle with an entire hierarchy of bound states.

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Stanislaw D. Glazek. 2006-11-01. Limit cycles of effective theories. https://doi.org/10.1103/physrevd.75.025005

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