RG flows, cycles, and c-theorem folklore
High Energy Physics - Theory
2012-03-28 v1 Statistical Mechanics
High Energy Physics - Lattice
Mathematical Physics
math.MP
Abstract
Monotonic renormalization group flows of the "c" and "a" functions are often cited as reasons why cyclic or chaotic coupling trajectories cannot occur. It is argued here, based on simple examples, that this is not necessarily true. Simultaneous monotonic and cyclic flows can be compatible if the flow-function is multi-valued in the couplings.
Cite
@article{arxiv.1111.2649,
title = {RG flows, cycles, and c-theorem folklore},
author = {Thomas L Curtright and Xiang Jin and Cosmas K Zachos},
journal= {arXiv preprint arXiv:1111.2649},
year = {2012}
}
Comments
3 pages, 5 figures