Transient chaos analysis of string scattering

Abstract It has long been thought that a highly excited string can be regarded as a black hole: the correspondence principle between strings and a black hole, while recent studies found that black holes are characterized by chaos. This suggests that highly excited strings are the source of the black...

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Main Authors: Koji Hashimoto, Yoshinori Matsuo, Takuya Yoda
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP11(2022)147
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author Koji Hashimoto
Yoshinori Matsuo
Takuya Yoda
author_facet Koji Hashimoto
Yoshinori Matsuo
Takuya Yoda
author_sort Koji Hashimoto
collection DOAJ
description Abstract It has long been thought that a highly excited string can be regarded as a black hole: the correspondence principle between strings and a black hole, while recent studies found that black holes are characterized by chaos. This suggests that highly excited strings are the source of the black hole chaoticity. We study the chaoticity of a string amplitude where a tachyon is scattered by a highly excited string. Our strategy to extract the chaos in the amplitude is a generalization of the transient chaos analysis for classical scattering. We look for the fractal structure in the plots of incoming/outgoing scattering angles, where the outgoing angle is defined as the maximum pole of the amplitude. Within our strategy, we could not identify any fractal structure in the scattering data. We also discuss other possible setups and strategies to extract the chaos, hoping that our present work serves as a step toward the formulation of chaos in string scattering amplitudes.
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spelling doaj.art-66d937420c2c4aeda9e3ef76036b98092023-03-22T10:16:50ZengSpringerOpenJournal of High Energy Physics1029-84792022-11-0120221112710.1007/JHEP11(2022)147Transient chaos analysis of string scatteringKoji Hashimoto0Yoshinori Matsuo1Takuya Yoda2Department of Physics, Kyoto UniversityDepartment of Physics, Kindai UniversityDepartment of Physics, Kyoto UniversityAbstract It has long been thought that a highly excited string can be regarded as a black hole: the correspondence principle between strings and a black hole, while recent studies found that black holes are characterized by chaos. This suggests that highly excited strings are the source of the black hole chaoticity. We study the chaoticity of a string amplitude where a tachyon is scattered by a highly excited string. Our strategy to extract the chaos in the amplitude is a generalization of the transient chaos analysis for classical scattering. We look for the fractal structure in the plots of incoming/outgoing scattering angles, where the outgoing angle is defined as the maximum pole of the amplitude. Within our strategy, we could not identify any fractal structure in the scattering data. We also discuss other possible setups and strategies to extract the chaos, hoping that our present work serves as a step toward the formulation of chaos in string scattering amplitudes.https://doi.org/10.1007/JHEP11(2022)147Bosonic StringsLong StringsBlack Holes in String Theory
spellingShingle Koji Hashimoto
Yoshinori Matsuo
Takuya Yoda
Transient chaos analysis of string scattering
Journal of High Energy Physics
Bosonic Strings
Long Strings
Black Holes in String Theory
title Transient chaos analysis of string scattering
title_full Transient chaos analysis of string scattering
title_fullStr Transient chaos analysis of string scattering
title_full_unstemmed Transient chaos analysis of string scattering
title_short Transient chaos analysis of string scattering
title_sort transient chaos analysis of string scattering
topic Bosonic Strings
Long Strings
Black Holes in String Theory
url https://doi.org/10.1007/JHEP11(2022)147
work_keys_str_mv AT kojihashimoto transientchaosanalysisofstringscattering
AT yoshinorimatsuo transientchaosanalysisofstringscattering
AT takuyayoda transientchaosanalysisofstringscattering