Hamiltonian deformations in quantum mechanics, $T\bar T$, and SYK
High Energy Physics - Theory
2020-09-09 v2
Abstract
Motivated by , 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.
Keywords
Cite
@article{arxiv.1912.06132,
title = {Hamiltonian deformations in quantum mechanics, $T\bar T$, and SYK},
author = {David J. Gross and Jorrit Kruthoff and Andrew Rolph and Edgar Shaghoulian},
journal= {arXiv preprint arXiv:1912.06132},
year = {2020}
}
Comments
30 pages + appendices. 3 figures. v2: Typos corrected, updated and corrected the discussion in section 2.3 and references added