What happens due to the baby universe effect in JT gravity? -- Analysis of correlation functions and ERB length at late time using three approaches - INSPIRE

DataBETA

What happens due to the baby universe effect in JT gravity? -- Analysis of correlation functions and ERB length at late time using three approaches

Masayoshi Sato
(
- Japan, Natl. Defence Academy
)

Mar 6, 2025

29 pages

e-Print:

2503.04331 [hep-th]

View in:

ADS Abstract Service

reference search0 citations

Citations per year

0 Citations

Abstract: (arXiv)

We analyze the correlation function in JT gravity using three approaches: by summing over all geodesics connecting boundary operators, integrating over the region of moduli space determined by the ``no-shortcut condition'' introduced by D.Stanford and Z.Yang, and using the formula for the universal spectral density correlation in the

\tau

-scaling limit. We find that the behaviors of the three results coincide at late times: they all exhibit a ``ramp'' instead of permanent decay. Using the third approach we also confirm that the ``plateau'' appears after

T_H=2\pi e^{S_0}\hat{\rho}_0(E)

. Overall, our results are consistent with the SFF analysis. We also calculate the ERB length

\langle \ell(T) \rangle

using the three approaches and find that the results are in good agreement with each other. We also find that the

\langle \ell(T) \rangle

grows as a cubic function in

T

due to the contribution from geometry including one observable baby universe, and converges to a constant after

T=T_H

. For the geometry with one baby universe, we compute the size

\langle b(T) \rangle

of the baby universe and find that it is of the same order as

\langle \ell(T) \rangle

. This result is consistent with the baby universe emission mechanism claimed by P.Saad.

Note:

29pages,10figures

References(69)

Figures(10)

[1]

Eternal black holes in anti-de Sitter

Juan Martin Maldacena
(
- Harvard U. and
- Princeton, Inst. Advanced Study
)

- JHEP 04 (2003) 021
•
e-Print:
- hep-th/0106112
•
DOI:
- 10.1088/1126-6708/2003/04/021

[2]

Quasinormal modes of AdS black holes and the approach to thermal equilibrium

- Phys.Rev.D 62 (2000) 024027
•
e-Print:
- hep-th/9909056
•
DOI:
- 10.1103/PhysRevD.62.024027

[3]

The Trouble with de Sitter space

- JHEP 07 (2003) 056
•
e-Print:
- hep-th/0212209
•
DOI:
- 10.1088/1126-6708/2003/07/056

[4]

Disturbing implications of a cosmological constant

Lisa Dyson
(
- Stanford U., Phys. Dept. and
- MIT, LNS
)
,
Matthew Kleban
(
- Stanford U., Phys. Dept.
)
,
Leonard Susskind
(
- Stanford U., Phys. Dept.
)

- JHEP 10 (2002) 011
•
e-Print:
- hep-th/0208013
•
DOI:
- 10.1088/1126-6708/2002/10/011

[5]

Very long time scales and black hole thermal equilibrium

J.L.F. Barbon
(
- CERN
)
,
E. Rabinovici
(
- Hebrew U.
)

- JHEP 11 (2003) 047
•
e-Print:
- hep-th/0308063
•
DOI:
- 10.1088/1126-6708/2003/11/047

[6]

Gapless spin fluid ground state in a random, quantum Heisenberg magnet

Subir Sachdev
(
- Yale U.
)
,
Jinwu Ye
(
- Yale U.
)

- Phys.Rev.Lett. 70 (1993) 3339
•
e-Print:
- cond-mat/9212030
•
DOI:
- 10.1103/PhysRevLett.70.3339

[7]

A simple model of quantum holography talk 1 and talk 2

A. Kitaev

[8]

The Spectrum in the Sachdev-Ye-Kitaev Model

- JHEP 04 (2016) 001
•
e-Print:
- 1601.06768
•
DOI:
- 10.1007/JHEP04(2016)001

[9]

Remarks on the Sachdev-Ye-Kitaev model

- Phys.Rev.D 94 (2016) 10, 106002
•
e-Print:
- 1604.07818
•
DOI:
- 10.1103/PhysRevD.94.106002

[10]

The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual

- JHEP 05 (2018) 183
•
e-Print:
- 1711.08467
•
DOI:
- 10.1007/JHEP05(2018)183

[11]

Black Holes and Random Matrices

Jordan S. Cotler
(
- Stanford U., ITP
)
,
Guy Gur-Ari
(
- Stanford U., ITP
)
,
Masanori Hanada
(
- Kyoto U. and
- Kyoto U., Yukawa Inst., Kyoto and
- Stanford U., ITP
)
,
Joseph Polchinski
(
- UC, Santa Barbara and
- Santa Barbara, KITP
)
,
Phil Saad
(
- Stanford U., ITP
)

et al.

- JHEP 05 (2017) 118,
- JHEP 09 (2018) 002 (erratum)
•
e-Print:
- 1611.04650
•
DOI:
- 10.1007/JHEP05(2017)118

[12]

A semiclassical ramp in SYK and in gravity

e-Print:
- 1806.06840

[13]

Gravitation and Hamiltonian Structure in Two Space-Time Dimensions

C. Teitelboim
(
- Texas U.
)

- Phys.Lett.B 126 (1983) 41-45
•
DOI:
- 10.1016/0370-2693(83)90012-6

[14]

Lower Dimensional Gravity

R. Jackiw
(
- MIT, LNS
)

- Nucl.Phys.B 252 (1985) 343-356,
- Bielefeld Symp.Phase Tr.1984:343,
- Bielefeld Symp.Phase Tr.1984:343
•
DOI:
- 10.1016/0550-3213(85)90448-1

[15]

Two-dimensional higher derivative quantum gravity with constant curvature constraint

T. Muta
(
- Hiroshima U.
)
,
S.D. Odintsov
(
- Hiroshima U.
)

- Prog.Theor.Phys. 90 (1993) 247-255,
- Phys.Atom.Nucl. 56 (1993) 1121-1123,
- Yad.Fiz. 56 (1993) 8, 223-228
•
DOI:
- 10.1143/PTP.90.247

[16]

Non-metricity approach to Jackiw-Teitelboim gravity

Shin'ichi Nojiri
(
- KEK, Tsukuba and
- KMI, Nagoya and
- Nagoya U.
)
,
S.D. Odintsov
(
- Barcelona, IEEC and
- ICREA, Barcelona
)

- Phys.Lett.B 863 (2025) 139372
•
e-Print:
- 2410.20747
•
DOI:
- 10.1016/j.physletb.2025.139372

[17]

Models of AdS $_{2}$ backreaction and holography

Ahmed Almheiri
(
- UC, Santa Barbara and
- Stanford U.
)
,
Joseph Polchinski
(
- Santa Barbara, KITP
)

- JHEP 11 (2015) 014
•
e-Print:
- 1402.6334
•
DOI:
- 10.1007/JHEP11(2015)014

[18]

Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space

- PTEP 2016 (2016) 12, 12C104
•
e-Print:
- 1606.01857
•
DOI:
- 10.1093/ptep/ptw124

[19]

The Quantum Gravity Dynamics of Near Extremal Black Holes

Zhenbin Yang
(
- Princeton U.
)

- JHEP 05 (2019) 205
•
e-Print:
- 1809.08647
•
DOI:
- 10.1007/JHEP05(2019)205

[20]

All point correlation functions in SYK

- JHEP 12 (2017) 148
•
e-Print:
- 1710.08113
•
DOI:
- 10.1007/JHEP12(2017)148

[21]

Shockwave S-matrix from Schwarzian Quantum Mechanics

Ho Tat Lam
(
- Princeton U.
)
,
Thomas G. Mertens
(
- Princeton U. and
- Gent U.
)
,
Gustavo J. Turiaci
(
- Princeton U.
)
,
Herman Verlinde
(
- Princeton U.
)

- JHEP 11 (2018) 182
•
e-Print:
- 1804.09834
•
DOI:
- 10.1007/JHEP11(2018)182

[22]

Solving the Schwarzian via the Conformal Bootstrap

Thomas G. Mertens
(
- Gent U. and
- Princeton U.
)
,
Gustavo J. Turiaci
(
- Princeton U.
)
,
Herman L. Verlinde
(
- Princeton U.
)

- JHEP 08 (2017) 136
•
e-Print:
- 1705.08408
•
DOI:
- 10.1007/JHEP08(2017)136

[23]

Dissecting the ensemble in JT gravity

Andreas Blommaert
(
- Gent U.
)

- JHEP 09 (2022) 075
•
e-Print:
- 2006.13971
•
DOI:
- 10.1007/JHEP09(2022)075

[24]

Clocks and Rods in Jackiw-Teitelboim Quantum Gravity

- JHEP 09 (2019) 060
•
e-Print:
- 1902.11194
•
DOI:
- 10.1007/JHEP09(2019)060

[25]

Eigenbranes in Jackiw-Teitelboim gravity

- JHEP 02 (2021) 168
•
e-Print:
- 1911.11603
•
DOI:
- 10.1007/JHEP02(2021)168

1-25 of 69
1
2
3
25 / page