DSpace Kyoto University
Japanese | English 

Kyoto University Research Information Repository >
Yukawa Institute for Theoretical Physics >
Journal Articles >

Access count of this item: 1

Please use this identifier to cite or link to this item: http://hdl.handle.net/2433/218237

Full text link:

File Description SizeFormat
JHEP09(2016)002.pdf295.96 kBAdobe PDFView/Open
Title: Butterflies from information metric
Authors: Miyaji, Masamichi
Keywords: 1/N Expansion
AdS-CFT Correspondence
Black Holes
Conformal Field Theory
Issue Date: 1-Sep-2016
Publisher: Springer Nature
Journal title: Journal of High Energy Physics
Volume: 2016
Thesis number: 2
Abstract: We study time evolution of distance between thermal states excited by local operators, with different external couplings. We find that growth of the distance implies growth of commutators of operators, signifying the local excitations are scrambled. We confirm this growth of distance by holographic computation, by evaluating volume of codimension 1 extremal volume surface. We find that the distance increases exponentially as e_2πt/β. Our result implies that, in chaotic system, trajectories of excited thermal states exhibit high sensitivity to perturbation to the Hamiltonian, and the distance between them will be significant at the scrambling time. We also confirm the decay of two point function of holographic Wilson loops on thermofield double state.
Rights: © 2016, The Author(s). JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
URI: http://hdl.handle.net/2433/218237
DOI(Published Version): 10.1007/JHEP09(2016)002
Appears in Collections:Journal Articles


Export to RefWorks

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Powered by DSpace 3.2.0 and JAIRO Crawler-List version 1.1
All items in KURENAI are protected by original copyright, with all rights reserved, unless otherwise indicated.
Feedback