# Functional renormalization group for p=2 like glassy matrices in the planar approximation: III. Equilibrium dynamics and beyond

Source: [Functional renormalization group for p=2 like glassy matrices in the planar approximation: III. Equilibrium dynamics and beyond](<https://www.sota2.com/research/paper/68fa47ae1e209131ce929ec6>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T06:27:31.860Z

Authors: Vincent Lahoche, Dine Ousmane Samary

Published: 2024-04-18T05:41:47.000Z

## Abstract

This paper is the last of the series investigating renormalization group aspects of stochastic random matrices, including a Wigner-like disorder. We consider the equilibrium dynamics formalism that can be merged with the Ward identities arising from the large N effective kinetics. We construct a regulator that does not break time-reversal symmetry and show that the resulting flow equations reduce to the equilibrium flow built in our previous works. Finally, we investigate the flow equations beyond the equilibrium dynamics assumption and study the stability of the perturbation around the fluctuation-dissipation theorem.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2404.11915>)

[PDF](<https://arxiv.org/pdf/2404.11915.pdf>)