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RG flows, cycles, and c-theorem folklore
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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.
Forward citations
Cited by 3 Pith papers
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Non-uniqueness of boundary-value problems in Renormalization Group flows
Boundary-value problems in RG flows are not always unique when the beta-function Jacobian has complex eigenvalues, unlike initial-value problems, with a diagnostic tool and examples in the SM and ASQG.
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Holographic RG flows and wormholes from sinusoidal scalars
For d=3, Δ=2 Einstein-scalar gravity with sinusoidal sources on two R^3 boundaries, the large wormhole dominates the path integral whenever wormholes exist, and there is no Hawking-Page-like subdominant regime.
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Asymptotically safe quantum gravity and its phenomenology -- a review
Review surveying progress toward realistic asymptotically safe quantum gravity with quantum scale symmetry and observational implications.
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