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Energy returns in global AdS 4. / Biasi, Anxo ; Craps, Ben; Evnin, Oleg.

In: Phys. Rev. D, Vol. 100, No. 2, 024008, 09.07.2019.

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Biasi, Anxo ; Craps, Ben ; Evnin, Oleg. / Energy returns in global AdS 4. In: Phys. Rev. D. 2019 ; Vol. 100, No. 2.

BibTeX

@article{d99e74c1084a4eeda6b86f15397e1eb8,
title = "Energy returns in global AdS 4",
abstract = "Recent studies of the weakly nonlinear dynamics of probe fields in global AdS4 (and of the nonrelativistic limit of AdS resulting in the Gross-Pitaevskii equation) have revealed a number of cases with exact dynamical returns for two-mode initial data. In this paper, we address the question whether similar exact returns are present in the weakly nonlinear dynamics of gravitationally backreacting perturbations in global AdS4. In the literature, approximate returns were first pointed out numerically and with limited precision. We first provide a thorough numerical analysis and discover returns that are so accurate that it would be tantalizing to sign off the small imperfections as an artifact of numerics. To clarify the situation, we introduce a systematic analytic approach by focusing on solutions with spectra localized around one of the two lowest modes. This allows us to demonstrate that in the gravitational case the returns are not exact. Furthermore, our analysis predicts and explains specific integer numbers of direct-reverse cascade sequences that result in particularly accurate energy returns (elaborate hierarchies of more and less precise returns arise if one waits for appropriate longer multiple periods in this manner). In addition, we explain, at least in this regime, the ubiquitous appearance of direct-reverse cascades in the weakly nonlinear dynamics of AdS-like systems.",
author = "Anxo Biasi and Ben Craps and Oleg Evnin",
year = "2019",
month = "7",
day = "9",
doi = "/10.1103/PhysRevD.100.024008",
language = "English",
volume = "100",
journal = "Physical Review D. Particles, Fields, Gravitation, and Cosmology",
issn = "1550-7998",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Energy returns in global AdS 4

AU - Biasi, Anxo

AU - Craps, Ben

AU - Evnin, Oleg

PY - 2019/7/9

Y1 - 2019/7/9

N2 - Recent studies of the weakly nonlinear dynamics of probe fields in global AdS4 (and of the nonrelativistic limit of AdS resulting in the Gross-Pitaevskii equation) have revealed a number of cases with exact dynamical returns for two-mode initial data. In this paper, we address the question whether similar exact returns are present in the weakly nonlinear dynamics of gravitationally backreacting perturbations in global AdS4. In the literature, approximate returns were first pointed out numerically and with limited precision. We first provide a thorough numerical analysis and discover returns that are so accurate that it would be tantalizing to sign off the small imperfections as an artifact of numerics. To clarify the situation, we introduce a systematic analytic approach by focusing on solutions with spectra localized around one of the two lowest modes. This allows us to demonstrate that in the gravitational case the returns are not exact. Furthermore, our analysis predicts and explains specific integer numbers of direct-reverse cascade sequences that result in particularly accurate energy returns (elaborate hierarchies of more and less precise returns arise if one waits for appropriate longer multiple periods in this manner). In addition, we explain, at least in this regime, the ubiquitous appearance of direct-reverse cascades in the weakly nonlinear dynamics of AdS-like systems.

AB - Recent studies of the weakly nonlinear dynamics of probe fields in global AdS4 (and of the nonrelativistic limit of AdS resulting in the Gross-Pitaevskii equation) have revealed a number of cases with exact dynamical returns for two-mode initial data. In this paper, we address the question whether similar exact returns are present in the weakly nonlinear dynamics of gravitationally backreacting perturbations in global AdS4. In the literature, approximate returns were first pointed out numerically and with limited precision. We first provide a thorough numerical analysis and discover returns that are so accurate that it would be tantalizing to sign off the small imperfections as an artifact of numerics. To clarify the situation, we introduce a systematic analytic approach by focusing on solutions with spectra localized around one of the two lowest modes. This allows us to demonstrate that in the gravitational case the returns are not exact. Furthermore, our analysis predicts and explains specific integer numbers of direct-reverse cascade sequences that result in particularly accurate energy returns (elaborate hierarchies of more and less precise returns arise if one waits for appropriate longer multiple periods in this manner). In addition, we explain, at least in this regime, the ubiquitous appearance of direct-reverse cascades in the weakly nonlinear dynamics of AdS-like systems.

U2 - /10.1103/PhysRevD.100.024008

DO - /10.1103/PhysRevD.100.024008

M3 - Article

VL - 100

JO - Physical Review D. Particles, Fields, Gravitation, and Cosmology

JF - Physical Review D. Particles, Fields, Gravitation, and Cosmology

SN - 1550-7998

IS - 2

M1 - 024008

ER -

ID: 46283297