Gradient flow exact renormalization group

Abstract

The gradient flow bears a close resemblance to the coarse graining, the guiding principle of the renormalization group (RG). In the case of scalar field theory, a precise connection has been made between the gradient flow and the RG flow of the Wilson action in the exact renormalization group (ERG) formalism. By imitating the structure of this connection, we propose an ERG differential equation that preserves manifest gauge invariance in Yang--Mills theory. Our construction in continuum theory can be extended to lattice gauge theory.

22 pages, the final version to appear in PTEP

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• Cooling Stochastic Quantization with colored noise
• Large-$N$ limit of the gradient flow in the 2D $O(N)$ nonlinear sigma model
• The Yang-Mills gradient flow and lattice effective action
• Renormalization group improved action on anisotropic lattices

Cited by in corpus (11)

• Functional flows for complex effective actions
• Gradient flow exact renormalization group -- inclusion of fermion fields
• Fixed Point Structure of Gradient Flow Exact Renormalization Group for Scalar Field Theories
• Chiral anomaly as a composite operator in the gradient flow exact renormalization group formalism
• Gradient Flow Exact Renormalization Group for Scalar Quantum Electrodynamics
• Exact renormalization group for wave functionals
• Building imaginary-time thermal field theory with artificial neural networks
• A basis of the gradient flow exact renormalization group for gauge theory
• Higher derivative extension of the functional renormalization group
• Functional Renormalization Group Analysis of $O(3)$ Nonlinear Sigma Model and Non-Abelian Bosonization Duality
• Perturbative analysis of the Wess-Zumino flow