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Wormholes without averaging

Saad, Phil, Shenker, Stephen H., Stanford, Douglas, Yao, Shunyu·2024·Journal of High Energy Physics
DOI 10.1007/jhep09(2024)133
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Abstract

A bstract: After averaging over fermion couplings, SYK has a collective field description that sometimes has “wormhole” solutions. We study the fate of these wormholes when the couplings are fixed. Working mainly in a simple model, we find that the wormhole saddles persist, but that new saddles also appear elsewhere in the integration space — “half-wormholes.” The wormhole contributions depend only weakly on the specific choice of couplings, while the half-wormhole contributions are strongly sensitive. The half-wormholes are crucial for factorization of decoupled systems with fixed couplings, but they vanish after averaging, leaving the non-factorizing wormhole behind.

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Crossref · 10.1007/jhep09(2024)133

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Figures

Image 1
CC-BY · From the PDF
Figure 1 We plot the complex σ plane. Outside the blue scalloped curve, the trivial saddle point dominates, and Φ( σ ) is self-averaging. The black dots are the locations of the 'wormhole' saddle points. They are in the self-averaging region: wormholes persist.
Figure 1 We plot the complex σ plane. Outside the blue scalloped curve, the trivial saddle point dominates, and Φ( σ ) is self-averaging. The black dots are the locations of the 'wormhole' saddle points. They are in the self-averaging region: wormholes persist.CC-BY · From the PDF
Image 3
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Image 4
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Figure 2 We plot six different samples of the integrand for z 2 , namely Φ( σ )Ψ( σ ) . Solid lines with different colors denote different samples. The black dashed line is the exact RMS value of the integrand using (2.31), and the red dashed line is the exact averaged value, using (2.30). Here N = 40 , q = 2 . The wormhole saddle for 〈 z 2 〉 is at a value σ = 1 , which is not within the self-averaging region.
Figure 2 We plot six different samples of the integrand for z 2 , namely Φ( σ )Ψ( σ ) . Solid lines with different colors denote different samples. The black dashed line is the exact RMS value of the integrand using (2.31), and the red dashed line is the exact averaged value, using (2.30). Here N = 40 , q = 2 . The wormhole saddle for 〈 z 2 〉 is at a value σ = 1 , which is not within the self-averaging region.CC-BY · From the PDF
Image 6
CC-BY · From the PDF
Figure 3 The solid blue curve is the logarithm of the RMS value of the integrand along the ray σ = re i π 4 , namely 1 N log(Φ rms ( e i π 4 r ) 2 ) -3 4 r 4 3 . The dashed red curve is the logarithm of the averaged value of this integrand, namely 1 N log(Φ mean ( e i π 4 r ) 2 ) -3 4 r 4 3 . The wormhole saddle point is at r = 1 , and the half-wormhole is at r = 0 . For the plot we took N = 100 and q = 4 . (We don't know how to make a plot with samples for q > 2 because Φ( σ ) seems to be intractable.)
Figure 3 The solid blue curve is the logarithm of the RMS value of the integrand along the ray σ = re i π 4 , namely 1 N log(Φ rms ( e i π 4 r ) 2 ) -3 4 r 4 3 . The dashed red curve is the logarithm of the averaged value of this integrand, namely 1 N log(Φ mean ( e i π 4 r ) 2 ) -3 4 r 4 3 . The wormhole saddle point is at r = 1 , and the half-wormhole is at r = 0 . For the plot we took N = 100 and q = 4 . (We don't know how to make a plot with samples for q > 2 because Φ( σ ) seems to be intractable.)CC-BY · From the PDF

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Citations

Cites

Research works printed but not linked: 42

  1. J. Maldacena and X.-L. Qi, Eternal traversable wormhole, arXiv:1804.00491 [INSPIRE]. · arXiv
  2. P. Saad, S.H. Shenker and D. Stanford, A semiclassical ramp in SYK and in gravity, arXiv:1806.06840 [INSPIRE]. · arXiv
  3. P. Saad, S.H. Shenker and D. Stanford, JT gravity as a matrix integral, arXiv:1903.11115 [INSPIRE]. · arXiv
  4. P. Saad, Late Time Correlation Functions, Baby Universes, and ETH in JT Gravity, arXiv:1910.10311 [INSPIRE]. · arXiv
  5. D. Stanford, More quantum noise from wormholes, arXiv:2008.08570 [INSPIRE]. · arXiv
  6. J.M. Maldacena and L. Maoz, Wormholes in AdS, JHEP 02 (2004) 053 [hep-th/0401024] [INSPIRE]. · DOI · Paper page
  7. A. Kitaev and S.J. Suh, The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual, JHEP 05 (2018) 183 [arXiv:1711.08467] [INSPIRE]. · DOI · Paper page
  8. R. Jackiw, Lower Dimensional Gravity, Nucl. Phys. B 252 (1985) 343 [INSPIRE]. · DOI · Paper page
  9. C. Teitelboim, Gravitation and Hamiltonian Structure in Two Space-Time Dimensions, Phys. Lett. B 126 (1983) 41 [INSPIRE]. · DOI · Paper page
  10. J. Maldacena and D. Stanford, Remarks on the Sachdev-Ye-Kitaev model, Phys. Rev. D 94 (2016) 106002 [arXiv:1604.07818] [INSPIRE]. · DOI · Paper page
  11. J. Maldacena, D. Stanford and Z. Yang, Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space, PTEP 2016 (2016) 12C104 [arXiv:1606.01857] [INSPIRE]. · DOI · Paper page
  12. J. Engelsöy, T.G. Mertens and H. Verlinde, An investigation of AdS2 backreaction and holography, JHEP 07 (2016) 139 [arXiv:1606.03438] [INSPIRE]. · DOI · Paper page
  13. D. Stanford and E. Witten, JT gravity and the ensembles of random matrix theory, Adv. Theor. Math. Phys. 24 (2020) 1475 [arXiv:1907.03363] [INSPIRE]. · DOI · Paper page
  14. S.R. Coleman, Black holes as red herrings: Topological fluctuations and the loss of quantum coherence, Nucl. Phys. B 307 (1988) 867 [INSPIRE]. · DOI · Paper page
  15. J. Pollack, M. Rozali, J. Sully and D. Wakeham, Eigenstate Thermalization and Disorder Averaging in Gravity, Phys. Rev. Lett. 125 (2020) 021601 [arXiv:2002.02971] [INSPIRE]. · DOI · Paper page
  16. N. Afkhami-Jeddi, H. Cohn, T. Hartman and A. Tajdini, Free partition functions and an averaged holographic duality, JHEP 01 (2021) 130 [arXiv:2006.04839] [INSPIRE]. · DOI
  17. A. Belin and J. de Boer, Random statistics of OPE coefficients and Euclidean wormholes, Class. Quant. Grav. 38 (2021) 164001 [arXiv:2006.05499] [INSPIRE]. · DOI · Paper page
  18. J. Cotler and K. Jensen, AdS3 gravity and random CFT, JHEP 04 (2021) 033 [arXiv:2006.08648] [INSPIRE]. · DOI
  19. R. Bousso and E. Wildenhain, Gravity/ensemble duality, Phys. Rev. D 102 (2020) 066005 [arXiv:2006.16289] [INSPIRE]. · DOI · Paper page
  20. T. Anous, J. Kruthoff and R. Mahajan, Density matrices in quantum gravity, SciPost Phys. 9 (2020) 045 [arXiv:2006.17000] [INSPIRE]. · DOI
  21. Y. Chen, V. Gorbenko and J. Maldacena, Bra-ket wormholes in gravitationally prepared states, JHEP 02 (2021) 009 [arXiv:2007.16091] [INSPIRE]. · DOI
  22. K. Langhoff and Y. Nomura, Ensemble from Coarse Graining: Reconstructing the Interior of an Evaporating Black Hole, Phys. Rev. D 102 (2020) 086021 [arXiv:2008.04202] [INSPIRE]. · DOI
  23. D. Marolf and J.E. Santos, AdS Euclidean wormholes, Class. Quant. Grav. 38 (2021) 224002 [arXiv:2101.08875] [INSPIRE]. · DOI
  24. E. Casali, D. Marolf, H. Maxfield and M. Rangamani, Baby universes and worldline field theories, Class. Quant. Grav. 39 (2022) 134004 [arXiv:2101.12221] [INSPIRE]. · DOI
  25. V. Meruliya, S. Mukhi and P. Singh, Poincaré Series, 3d Gravity and Averages of Rational CFT, JHEP 04 (2021) 267 [arXiv:2102.03136] [INSPIRE]. · DOI
  26. L. Eberhardt, Summing over Geometries in String Theory, JHEP 05 (2021) 233 [arXiv:2102.12355] [INSPIRE]. · DOI
  27. A. Altland and J. Sonner, Late time physics of holographic quantum chaos, SciPost Phys. 11 (2021) 034 [arXiv:2008.02271] [INSPIRE]. · DOI
  28. A.M. García-García and V. Godet, Euclidean wormhole in the Sachdev-Ye-Kitaev model, Phys. Rev. D 103 (2021) 046014 [arXiv:2010.11633] [INSPIRE]. · DOI
  29. A. Blommaert, T.G. Mertens and H. Verschelde, Eigenbranes in Jackiw-Teitelboim gravity, JHEP 02 (2021) 168 [arXiv:1911.11603] [INSPIRE]. · DOI
  30. P. Saad, S. Shenker and S. Yao, Comments on wormholes and factorization, arXiv:2107.13130. · arXiv
  31. D. Harlow, Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture, JHEP 01 (2016) 122 [arXiv:1510.07911] [INSPIRE]. · DOI
  32. D. Harlow and D. Jafferis, The Factorization Problem in Jackiw-Teitelboim Gravity, JHEP 02 (2020) 177 [arXiv:1804.01081] [INSPIRE]. · DOI · Paper page
  33. J.S. Cotler et al., Black Holes and Random Matrices, JHEP 05 (2017) 118 [Erratum ibid. 09 (2018) 002] [arXiv:1611.04650] [INSPIRE]. · arXiv
  34. S.D. Mathur, The Information paradox: A Pedagogical introduction, Class. Quant. Grav. 26 (2009) 224001 [arXiv:0909.1038] [INSPIRE]. · DOI · Paper page
  35. S.D. Mathur, Fuzzballs and black hole thermodynamics, arXiv:1401.4097 [INSPIRE]. · arXiv
  36. I.R. Klebanov, F. Popov and G. Tarnopolsky, TASI Lectures on Large N Tensor Models, PoS TASI2017 (2018) 004 [arXiv:1808.09434] [INSPIRE]. · DOI
  37. S. Xu, L. Susskind, Y. Su and B. Swingle, A Sparse Model of Quantum Holography, arXiv:2008.02303 [INSPIRE]. · arXiv
  38. E. Brézin and S. Hikami, Characteristic Polynomials of Random Matrices, Commun. Math. Phys. 214 (2000) 111 [math-ph/9910005]. · DOI
  39. E. Brézin and S. Hikami, Intersection theory from duality and replica, Commun. Math. Phys. 283 (2008) 507 [arXiv:0708.2210] [INSPIRE]. · DOI
  40. M.R. Zirnbauer, The color-flavor transformation and a new approach to quantum chaotic maps, chao-dyn/9810016. · arXiv
  41. J.M. Maldacena, G.W. Moore, N. Seiberg and D. Shih, Exact vs. semiclassical target space of the minimal string, JHEP 10 (2004) 020 [hep-th/0408039] [INSPIRE]. · DOI
  42. D. Gaiotto and L. Rastelli, A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model, JHEP 07 (2005) 053 [hep-th/0312196] [INSPIRE]. · DOI

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Metadata

Authors
Saad, P., Shenker, S. H., Stanford, D., & Yao, S.
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2024-09-19
Volume
2024
Issue
9
ISSN
1029-8479
DOI
10.1007/jhep09(2024)133
Cited by
31
References
9
Language
en
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