title: Renormalization group flows, cycles, and c-theorem folklore.
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 multivalued in the couplings.
authors.affiliation: Department of Physics, University of Miami, Coral Gables, Florida 33124-8046, USA.
authors.forename: Thomas L
authors.initials: TL
authors.lastname: Curtright
authors.forename: Xiang
authors.initials: X
authors.lastname: Jin
authors.forename: Cosmas K
authors.initials: CK
authors.lastname: Zachos