Stochastic dynamics for group field theories
| Autor: | Vincent Lahoche, Dine Ousmane Samary |
|---|---|
| Přispěvatelé: | HEP, INSPIRE, Département Intelligence Ambiante et Systèmes Interactifs (DIASI), Laboratoire d'Intégration des Systèmes et des Technologies (LIST (CEA)), Direction de Recherche Technologique (CEA) (DRT (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Direction de Recherche Technologique (CEA) (DRT (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay |
| Rok vydání: | 2023 |
| Předmět: |
High Energy Physics - Theory
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] FOS: Physical sciences Mathematical Physics (math-ph) critical phenomena [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph] Langevin equation High Energy Physics - Theory (hep-th) fixed point stochastic [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th] field theory: group renormalization group: nonperturbative Ward-Takahashi identity numerical calculations Mathematical Physics |
| Zdroj: | Phys.Rev.D Phys.Rev.D, 2023, 107 (8), pp.086009. ⟨10.1103/PhysRevD.107.086009⟩ |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.107.086009 |
| Popis: | Phase transitions with spontaneous symmetry breaking are expected for group field theories as a basic feature of the geometogenesis scenario. The following paper aims to investigate the equilibrium phase for group field theory by using the ergodic hypothesis on which the Gibbs-Boltzmann distributions must break down. The breaking of the ergodicity can be considered dynamically, by introducing a fictitious time inducing a stochastic process described through a Langevin equation, from which the randomness of the tensor field will be a consequence. This type of equation is considered particularly for complex just-renormalizable Abelian model of rank $d=5$, and we study some of their properties by using a renormalization group considering a coarse-graining both in time and space. Comment: 76 pages, 18 figures |
| Databáze: | OpenAIRE |
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