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Article Dans Une Revue Nucl.Phys.B Année : 2023

Stochastic melonic kinetics with random initial conditions

Résumé

In this paper, we address the low-temperature behavior of the phase ordering kinetics of a stochastic complex tensor field $T_{i_1\cdots i_d}(x,t)$ of size $N$ and rank $d$ in dimension $D$, whose dynamics follows a Langevin like equation. The method we propose here, use the self average property of the tensorial invariants in the large $N$ limit, and in particular we investigate the behavior of the norm $r(x,t)\equiv \sum_{i_1\cdots i_d} \bar{T}_{i_1\cdots i_d}(x,t){T}_{i_1\cdots i_d}(x,t)/N^d$. We especially focus on the cyclic (i.e. non-branching) melonic sector and study the way that the system returns to the equilibrium regime regarding the temperature and the shape of the potential.

Dates et versions

hal-04006168 , version 1 (27-02-2023)

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Bio Wahabou Kpera, Vincent Lahoche, Dine Ousmane Samary. Stochastic melonic kinetics with random initial conditions. Nucl.Phys.B, 2023, 991, pp.116188. ⟨10.1016/j.nuclphysb.2023.116188⟩. ⟨hal-04006168⟩
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