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2020

Electric Forces in the Charged SYK Model

Susskind, Leonard

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The connection between gravitational force and operator growth, reported in earlier papers, is generalized to include electromagnetic forces.

It is shown how in the U(1)-invariant SYK system electric forces emerge through the same mechanisms -- the momentum-size correspondence, and operator growth -- that give rise to gravitational force.
The unit of electric charge implied by the U(1)-SYK theory is consistent with a Kaluza-Klein radius inverse to the characteristic energy scale of the SYK theory.

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Built on

L. Susskind, “Complexity and Newton’s Laws,” Front. in Phys. 8
Original
1904
Earlier work this paper cites.
H. W. Lin, J. Maldacena and Y. Zhao, “Symmetries Near the Horizon,” JHEP 08
Original
1904
Earlier work this paper cites.
Y. Gu, A. Kitaev, S. Sachdev and G. Tarnopolsky, “Notes on the complex Sachdev-Ye-Kitaev model,” JHEP 02
Original
1910
Earlier work this paper cites.
S. Xu, L. Susskind, Y. Su and B. Swingle, “A Sparse Model of Quantum Holography,” [arXiv:2008.02303 [cond-mat.str-el]]
Original
2008
Earlier work this paper cites.

Similar

J. Maldacena, D. Stanford and Z. Yang, “Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space,” PTEP 2016
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2016
Cited alongside, same era.
J. Maldacena and D. Stanford, “Remarks on the Sachdev-Ye-Kitaev model,” Phys. Rev. D 94
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2016
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R. A. Davison, W. Fu, A. Georges, Y. Gu, K. Jensen and S. Sachdev, “Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography,” Phys. Rev. B 95
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2017
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L. Susskind, “Why do Things Fall?,” [arXiv:1802.01198 [hep-th]]
Original
Cited in the paper.
L. Susskind and Y. Zhao, “Switchbacks and the Bridge to Nowhere,” [arXiv:1408.2823 [hep-th]]
Original
Cited in the paper.

Then

D. A. Roberts, D. Stanford and A. Streicher, “Operator growth in the SYK model,” JHEP 06
Original
2018
Later among the works it cites.
A. R. Brown, H. Gharibyan, A. Streicher, L. Susskind, L. Thorlacius and Y. Zhao, “Falling Toward Charged Black Holes,” Phys. Rev. D 98
Original
2018
Later among the works it cites.
X. L. Qi and A. Streicher, “Quantum Epidemiology: Operator Growth, Thermal Effects, and SYK,” JHEP 08
Original
2019
Later among the works it cites.

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