Derivation of a Gradient Flow from ERG

Abstract

We establish a concrete correspondence between a gradient flow and the renormalization group flow for a generic scalar field theory. We use the exact renormalization group formalism with a particular choice of the cutoff function.

16 pages, 1 figure

References in corpus (3)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Infinite N phase transitions in continuum Wilson loop operators
• Renormalizability of the gradient flow in the 2D $O(N)$ non-linear sigma model

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• Supersymmetric gradient flow in the Wess-Zumino model
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• Higher derivative extension of the functional renormalization group
• A basis of the gradient flow exact renormalization group for gauge theory
• Perturbative analysis of the Wess-Zumino flow
• Functional Renormalization Group Analysis of $O(3)$ Nonlinear Sigma Model and Non-Abelian Bosonization Duality