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RG Flows and Bifurcations

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arxiv 1608.06638 v2 pith:TXW37AAC submitted 2016-08-23 hep-th cond-mat.str-elhep-phmath.DS

Sergei Gukov This is my paper · ORCID
classification hep-thcond-mat.str-elhep-phmath.DS
keywords flowsconstraintsbifurcationscouplingsdynamicalevenfamiliarfixed
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Interpreting RG flows as dynamical systems in the space of couplings we produce a variety of constraints, global (topological) as well as local. These constraints, in turn, rule out some of the proposed RG flows and also predict new phases and fixed points, surprisingly, even in familiar theories such as O(N) model, QED-3, or QCD-4.

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  1. Disturbing news about the $d=2+\epsilon$ expansion

    hep-th 2025-05 conditional novelty 7.0 of 10

    A protected operator forces the O(N) nonlinear sigma model fixed point in 2+epsilon dimensions to be a different CFT family from the Wilson-Fisher O(N) fixed point for finite N.

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