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arXiv · 1912.06132

Hamiltonian deformations in quantum mechanics, $T\bar T$, and SYK

David J. Gross·Jorrit Kruthoff·Andrew Rolph·Edgar Shaghoulian
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Abstract

Motivated by $T\bar T$, we introduce and study a wide class of solvable deformations of quantum-mechanical theories. These deformations map the Hamiltonian to a function of itself. We solve these theories by computing all finite-temperature correlation functions of the deformed theory in terms of the correlators of the undeformed theory. Applications to AdS/CFT, SYK, and the Schwarzian theory are considered. We write down the deformed Schwarzian action for an arbitrary Hamiltonian deformation and find that the maximal Lyapunov exponent is unchanged.

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David J. Gross, Jorrit Kruthoff, Andrew Rolph, Edgar Shaghoulian. 2019-12-12. Hamiltonian deformations in quantum mechanics, $T\bar T$, and SYK. https://doi.org/10.1103/physrevd.102.046019

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