RG flows and bifurcations

2016/08/31 by Sergei Gukov · 5 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Computer science #Cosmology and Gravitation Theories #Dynamical systems theory #Fixed point #Mathematical analysis #Mathematics #Particle physics #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Space (punctuation) #Statistical physics #Topology (electrical circuits) #Variety (cybernetics) #cond-mat.str-el #hep-ph #hep-th #math.DS

paper · pdf · doi:10.1016/j.nuclphysb.2017.03.025

62 pp, 25 figures, 6 tables; remarks and references added

openalex publication_date 2017/03/29 · arxiv created 2017/05/04 · arxiv updated 2017/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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, QED3, or QCD4.

Citations

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• Equivariant Verlinde Formula from Fivebranes and Vortices

Cited by

• Zoo of flows in a 3d gauged supergravity with periodic potential
• Homomorphism, substructure and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders
• Disturbing news about the d=2+ε expansion
• Phase-locking in dynamical systems and quantum mechanics
• Asymptotic safety, the Higgs boson mass, and beyond the standard model physics

Related

• RG Flows and Dynamical Systems
• RG Flows with Global Symmetry Breaking and Bounds from Chaos
• RG flows from WZW models
• Integrability of the RG flows and the bulk/boundary correspondence
• RG Flows and Fixed Points of O(N)^r Models