2024/11/17 by Bêm-Biéri Barthélémy Natta, Natta, Bêm-Biéri Barthélémy, Vincent Lahoche +5
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2411.11089
openalex publication_date 2024/11/17 · openalex created_date 2024/11/21 · openalex updated_date 2026/07/28
This paper aims to study the functional renormalization group for quantum (2+p)-spin dynamics of a N-vector x∈ ℝN. By fixing the gauge symmetry in the construction of the FRG, that breaks the O(N)-symmetry and deriving the corresponding non-trivial Ward identity we can: In the first time coarse grain and focus on this study using a more attractive method such as the effective vertex expansion, and in the second time explore this model beyond the symmetry phase. We show finite scale singularities due to the disorder, interpreted as the signal in the perturbation theory. The unconventional renormalization group approach is based on coarse-graining over the eigenvalues of matrix-like disorder, viewed as an effective kinetic term, with an eigenvalue distribution following a deterministic law in the large N limit. As an illustration, the case where p=3 is scrutinized.