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Scramblon loops

delete2024-10-09
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OA
AI
D
Douglas Stanford *
S
Shreya Vardhan
S
Shunyu Yao
DOI:10.1007/JHEP10(2024)073delete
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Abstract

Abstract

En 中文
In large N chaotic quantum systems, the butterfly effect is mediated by a collective field mode known as the scramblon. We study self-interactions of the scramblon in variants of the Sachdev-Ye-Kitaev model. In spatially extended versions of the model and for large spatial separation, fluctuations described by loop diagrams can invalidate the single-scramblon approximation well before its contribution to out-of-time-order correlators becomes of order one. We find a qualitative difference between an incoherent regime at high temperaure (or in a Brownian version of the model) and a coherent regime at low temperature.
Keywords:
AdS-CFT Correspondence
Holography and Condensed Matter Physics (AdS/CMT)
Non-Equilibrium Field Theory

Journal

Journal of High Energy Physics cover
Journal of High Energy Physics
IF:
5.5
Papers:
3.9W
Citations:
13.7W

Organization

S
Stanford University
Scholars:
9.6W
Papers: 8.2W
Citations: 17.0W