Abstract
We consider the scattering of high energy and ultra relativistic spherically symmetric shells in asymptotically AdSD spacetimes. We analyze an exclusive amplitude where a single spherically symmetric shell goes in and a single one comes out, such that the two have different global symmetry charges of the effective gravity theory. We study a simple wormhole configuration that computes the square of the amplitude and analyze its properties.
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S.W. Hawking, Breakdown of Predictability in Gravitational Collapse, Phys. Rev. D 14 (1976) 2460 [INSPIRE].
T. Banks and N. Seiberg, Symmetries and Strings in Field Theory and Gravity, Phys. Rev. D 83 (2011) 084019 [arXiv:1011.5120] [INSPIRE].
G.V. Lavrelashvili, V.A. Rubakov and P.G. Tinyakov, Disruption of Quantum Coherence upon a Change in Spatial Topology in Quantum Gravity, JETP Lett. 46 (1987) 167 [INSPIRE].
G.V. Lavrelashvili, V.A. Rubakov and P.G. Tinyakov, Particle Creation and Destruction of Quantum Coherence by Topological Change, Nucl. Phys. B 299 (1988) 757 [INSPIRE].
S.R. Coleman, Black Holes as Red Herrings: Topological Fluctuations and the Loss of Quantum Coherence, Nucl. Phys. B 307 (1988) 867 [INSPIRE].
S.B. Giddings and A. Strominger, Loss of Incoherence and Determination of Coupling Constants in Quantum Gravity, Nucl. Phys. B 307 (1988) 854 [INSPIRE].
L.F. Abbott and M.B. Wise, Wormholes and Global Symmetries, Nucl. Phys. B 325 (1989) 687 [INSPIRE].
S.R. Coleman and K.-M. Lee, Wormholes made without massless matter fields, Nucl. Phys. B 329 (1990) 387 [INSPIRE].
R. Kallosh, A.D. Linde, D.A. Linde and L. Susskind, Gravity and global symmetries, Phys. Rev. D 52 (1995) 912 [hep-th/9502069] [INSPIRE].
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force, JHEP 06 (2007) 060 [hep-th/0601001] [INSPIRE].
D. Harlow and H. Ooguri, Constraints on Symmetries from Holography, Phys. Rev. Lett. 122 (2019) 191601 [arXiv:1810.05337] [INSPIRE].
D. Harlow and H. Ooguri, Symmetries in quantum field theory and quantum gravity, Commun. Math. Phys. 383 (2021) 1669 [arXiv:1810.05338] [INSPIRE].
D. Harlow and E. Shaghoulian, Global symmetry, Euclidean gravity, and the black hole information problem, JHEP 04 (2021) 175 [arXiv:2010.10539] [INSPIRE].
S. Fichet and P. Saraswat, Approximate Symmetries and Gravity, JHEP 01 (2020) 088 [arXiv:1909.02002] [INSPIRE].
Y. Chen and H.W. Lin, Signatures of global symmetry violation in relative entropies and replica wormholes, JHEP 03 (2021) 040 [arXiv:2011.06005] [INSPIRE].
P.-S. Hsin, L.V. Iliesiu and Z. Yang, A violation of global symmetries from replica wormholes and the fate of black hole remnants, Class. Quant. Grav. 38 (2021) 194004 [arXiv:2011.09444] [INSPIRE].
A. Milekhin and A. Tajdini, Charge fluctuation entropy of Hawking radiation: a replica-free way to find large entropy, arXiv:2109.03841 [INSPIRE].
A. Belin, J. De Boer, P. Nayak and J. Sonner, Charged eigenstate thermalization, Euclidean wormholes and global symmetries in quantum gravity, SciPost Phys. 12 (2022) 059 [arXiv:2012.07875] [INSPIRE].
T. Daus, A. Hebecker, S. Leonhardt and J. March-Russell, Towards a Swampland Global Symmetry Conjecture using weak gravity, Nucl. Phys. B 960 (2020) 115167 [arXiv:2002.02456] [INSPIRE].
M. Sasieta, Wormholes from heavy operator statistics in AdS/CFT, arXiv:2211.11794 [INSPIRE].
G. Penington, S.H. Shenker, D. Stanford and Z. Yang, Replica wormholes and the black hole interior, JHEP 03 (2022) 205 [arXiv:1911.11977] [INSPIRE].
P. Saad, S.H. Shenker and D. Stanford, A semiclassical ramp in SYK and in gravity, arXiv:1806.06840 [INSPIRE].
D. Stanford, More quantum noise from wormholes, arXiv:2008.08570 [INSPIRE].
M. Kontsevich and G. Segal, Wick Rotation and the Positivity of Energy in Quantum Field Theory, Quart. J. Math. Oxford Ser. 72 (2021) 673 [arXiv:2105.10161] [INSPIRE].
E. Witten, A Note On Complex Spacetime Metrics, arXiv:2111.06514 [INSPIRE].
W. Israel, Singular hypersurfaces and thin shells in general relativity, Nuovo Cim. B 44S10 (1966) 1 [Erratum ibid. 48 (1967) 463] [INSPIRE].
V. Keranen et al., Gravitational collapse of thin shells: Time evolution of the holographic entanglement entropy, JHEP 06 (2015) 126 [arXiv:1502.01277] [INSPIRE].
F. Bezrukov, D. Levkov and S. Sibiryakov, Semiclassical S-matrix for black holes, JHEP 12 (2015) 002 [arXiv:1503.07181] [INSPIRE].
J. Chandra and T. Hartman, Coarse graining pure states in AdS/CFT, arXiv:2206.03414 [INSPIRE].
V. Balasubramanian, A. Lawrence, J.M. Magan and M. Sasieta, Microscopic origin of the entropy of black holes in general relativity, arXiv:2212.02447 [INSPIRE].
M.K. Parikh and F. Wilczek, Hawking radiation as tunneling, Phys. Rev. Lett. 85 (2000) 5042 [hep-th/9907001] [INSPIRE].
T.G. Mertens, G.J. Turiaci and H.L. Verlinde, Solving the Schwarzian via the Conformal Bootstrap, JHEP 08 (2017) 136 [arXiv:1705.08408] [INSPIRE].
S.K. Blau, E.I. Guendelman and A.H. Guth, The Dynamics of False Vacuum Bubbles, Phys. Rev. D 35 (1987) 1747 [INSPIRE].
M. Dodelson and A. Zhiboedov, Gravitational orbits, double-twist mirage, and many-body scars, JHEP 12 (2022) 163 [arXiv:2204.09749] [INSPIRE].
J.M. Maldacena and L. Maoz, Wormholes in AdS, JHEP 02 (2004) 053 [hep-th/0401024] [INSPIRE].
D. Marolf and H. Maxfield, Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information, JHEP 08 (2020) 044 [arXiv:2002.08950] [INSPIRE].
J. Polchinski, S matrices from AdS space-time, hep-th/9901076 [NST-ITP-99-02] [INSPIRE].
L. Susskind, Holography in the flat space limit, AIP Conf. Proc. 493 (1999) 98 [hep-th/9901079] [INSPIRE].
S.B. Giddings, The Boundary S matrix and the AdS to CFT dictionary, Phys. Rev. Lett. 83 (1999) 2707 [hep-th/9903048] [INSPIRE].
J. Penedones, Writing CFT correlation functions as AdS scattering amplitudes, JHEP 03 (2011) 025 [arXiv:1011.1485] [INSPIRE].
J. Maldacena, G.J. Turiaci and Z. Yang, Two dimensional Nearly de Sitter gravity, JHEP 01 (2021) 139 [arXiv:1904.01911] [INSPIRE].
E. Witten, Deformations of JT Gravity and Phase Transitions, arXiv:2006.03494 [INSPIRE].
L. Fidkowski, V. Hubeny, M. Kleban and S. Shenker, The Black hole singularity in AdS / CFT, JHEP 02 (2004) 014 [hep-th/0306170] [INSPIRE].
G. Festuccia and H. Liu, Excursions beyond the horizon: Black hole singularities in Yang-Mills theories. I., JHEP 04 (2006) 044 [hep-th/0506202] [INSPIRE].
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Bah, I., Chen, Y. & Maldacena, J. Estimating global charge violating amplitudes from wormholes. J. High Energ. Phys. 2023, 61 (2023). https://doi.org/10.1007/JHEP04(2023)061
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DOI: https://doi.org/10.1007/JHEP04(2023)061