TL;DR
This paper analyzes renormalization group flows as dynamical systems, deriving constraints that exclude certain flows and predict new phases and fixed points in well-studied models like O(N), QED-3, and QCD-4.
Contribution
It introduces a topological and local constraint framework for RG flows, leading to novel predictions and exclusions of certain flow behaviors in quantum field theories.
Findings
Rules out some proposed RG flows
Predicts new phases and fixed points
Applies to models like O(N), QED-3, QCD-4
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, QED-3, or QCD-4.
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