非极大量子混沌的有效场论

IF 5 1区物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS

Journal of High Energy Physics Pub Date : 2023-11-13 DOI:10.1007/jhep11(2023)076

Ping Gao, Hong Liu

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引用次数: 7

摘要

在非极大量子混沌系统中，超时序相关器(OTOCs)的指数行为是由一个无限高自旋算子塔的交换求和得到的。我们构建了一个有效的场理论(EFT)来捕捉(0 + 1)维的这些交换。EFT对极大混沌系统进行了推广，并在极大混沌的极限下简化为极大混沌系统。该理论预测了OTOCs的一般结构，在1/ N展开(N是自由度的数量)的领先阶，以及在无限次高阶1/ N修正后的恢复。这些一般结果与先前在特定模型中明确得到的结果一致。我们还证明了EFT的一般结构可以从大q SYK模型中提取出来。

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An effective field theory for non-maximal quantum chaos

A bstract In non-maximally quantum chaotic systems, the exponential behavior of out-of-time-ordered correlators (OTOCs) results from summing over exchanges of an infinite tower of higher “spin” operators. We construct an effective field theory (EFT) to capture these exchanges in (0 + 1) dimensions. The EFT generalizes the one for maximally chaotic systems, and reduces to it in the limit of maximal chaos. The theory predicts the general structure of OTOCs both at leading order in the 1/ N expansion ( N is the number of degrees of freedom), and after resuming over an infinite number of higher order 1/ N corrections. These general results agree with those previously explicitly obtained in specific models. We also show that the general structure of the EFT can be extracted from the large q SYK model.

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来源期刊

Journal of High Energy Physics PHYSICS, PARTICLES & FIELDS-

CiteScore

10.00

自引率

46.30%

发文量

2107

审稿时长

12 weeks

期刊介绍： The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).