Stochastic dynamics for group field theories II: Methods for nonequilibrium renormalization group
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915482964066304 |
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| author | Lahoche, Vincent Samary, Dine Ousmane |
| author_facet | Lahoche, Vincent Samary, Dine Ousmane |
| contents | 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 non-localities of group field theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05507 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stochastic dynamics for group field theories II: Methods for nonequilibrium renormalization group Lahoche, Vincent Samary, Dine Ousmane High Energy Physics - Theory Mathematical Physics 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 non-localities of group field theories. |
| title | Stochastic dynamics for group field theories II: Methods for nonequilibrium renormalization group |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2509.05507 |