More on chaos at weak coupling

Rohit R. Kalloor; Adar Sharon

doi:10.1007/JHEP07(2025)139

More on chaos at weak coupling

Rohit R. Kalloor
, Adar Sharon

Simons Center for Geometry & Physics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss aspects of the quantum Lyapunov exponent λ_L in theories with an exactly marginal SYK-like random interaction, where λ_L can be computed as a continuous function of the interaction strength J. In 1d, we prove a conjecture from [1] which states that at small J, λ_L can be found by considering a specific limit of the four-point function in the decoupled theory. We then provide additional evidence for the 2d version of this conjecture by discussing new examples of Lyapunov exponents which can be computed at weak coupling.

Original language	English
Article number	139
Journal	Journal of High Energy Physics
Volume	2025
Issue number	7
DOIs	https://doi.org/10.1007/JHEP07(2025)139
State	Published - Jul 2025

Keywords

Effective Field Theories
Field Theories in Lower Dimensions
Integrable Field Theories
Random Systems

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10.1007/JHEP07(2025)139

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title = "More on chaos at weak coupling",

abstract = "We discuss aspects of the quantum Lyapunov exponent λL in theories with an exactly marginal SYK-like random interaction, where λL can be computed as a continuous function of the interaction strength J. In 1d, we prove a conjecture from [1] which states that at small J, λL can be found by considering a specific limit of the four-point function in the decoupled theory. We then provide additional evidence for the 2d version of this conjecture by discussing new examples of Lyapunov exponents which can be computed at weak coupling.",

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N2 - We discuss aspects of the quantum Lyapunov exponent λL in theories with an exactly marginal SYK-like random interaction, where λL can be computed as a continuous function of the interaction strength J. In 1d, we prove a conjecture from [1] which states that at small J, λL can be found by considering a specific limit of the four-point function in the decoupled theory. We then provide additional evidence for the 2d version of this conjecture by discussing new examples of Lyapunov exponents which can be computed at weak coupling.

AB - We discuss aspects of the quantum Lyapunov exponent λL in theories with an exactly marginal SYK-like random interaction, where λL can be computed as a continuous function of the interaction strength J. In 1d, we prove a conjecture from [1] which states that at small J, λL can be found by considering a specific limit of the four-point function in the decoupled theory. We then provide additional evidence for the 2d version of this conjecture by discussing new examples of Lyapunov exponents which can be computed at weak coupling.

KW - Effective Field Theories

KW - Field Theories in Lower Dimensions

KW - Integrable Field Theories

KW - Random Systems

UR - https://www.scopus.com/pages/publications/105010649326

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DO - 10.1007/JHEP07(2025)139

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VL - 2025

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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M1 - 139

ER -

More on chaos at weak coupling

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