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Stochastic dynamics for group field theories. II. Methods for nonequilibrium renormalization group

Vincent Lahoche1,* and Dine Ousmane Samary2,†

  • *Contact author: vincent.lahoche@cea.fr
  • †Contact author: dine.ousmanesamary@cipma.uac.bj
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Phys. Rev. D 114, 046028 – Published 26 August, 2026

DOI: https://doi.org/10.1103/kmgr-pc3w

Abstract

This paper is a continuation of our earlier work, which aimed to develop methods for understanding the renormalization group of tensorial group field theories within the stochastic quantization framework. In that first study, we showed that the equations governing melonic structures, together with Ward identities, make it possible to close the hierarchy of flow equations, thereby reproducing the results of equilibrium theory. In the present work, we go further by extending the formalism to the out-of-equilibrium regime, while also examining the stability of dynamical equilibrium, specifically, potential violations of the fluctuation-dissipation theorem. Our objective here is purely methodological, and we focus on a simplified “toy” Abelian model that retains only the characteristic nonlocalities of group field theories.

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Stochastic dynamics for group field theories

Vincent Lahoche and Dine Ousmane Samary
Phys. Rev. D 107, 086009 (2023)

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Phys. Rev. D 114, 046028– Published 26 August, 2026
  • Received 5 October 2025
  • Accepted 24 March 2026
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