平面近似中 "p = 2 "类玻璃矩阵的函数重正化群 III.平衡动力学及其他

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B Pub Date : 2024-08-10 DOI:10.1016/j.nuclphysb.2024.116656

Vincent Lahoche , Dine Ousmane Samary

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引用次数: 0

摘要

本文是研究随机随机矩阵的重正化群方面（包括类似维格纳的无序）系列的最后一篇论文。我们考虑了可与大 N 有效动力学产生的 Ward 特性合并的平衡动力学形式主义。我们构建了一个不破坏时间反转对称性的调节器，并证明由此产生的流动方程可以还原为我们之前工作中构建的平衡流动方程。最后，我们研究了平衡动力学假设之外的流动方程，并围绕波动-消散定理研究了扰动的稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Functional renormalization group for “p = 2” like glassy matrices in the planar approximation III. Equilibrium dynamics and beyond

This paper is the last of the series investigating renormalization group aspects of stochastic random matrices, including a Wigner-like disorder. We consider the equilibrium dynamics formalism that can be merged with the Ward identities arising from the large N effective kinetics. We construct a regulator that does not break time-reversal symmetry and show that the resulting flow equations reduce to the equilibrium flow built in our previous works. Finally, we investigate the flow equations beyond the equilibrium dynamics assumption and study the stability of the perturbation around the fluctuation-dissipation theorem.

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.