RG flows, cycles, and c-theorem folklore

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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3 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.108.131601

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.

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