DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Subleading Weingartens

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [2]
  1. Stanford Univ., CA (United States); Stanford University
  2. Stanford Univ., CA (United States)

Haar integrals over the unitary group contain subleading terms that are needed for unitarity. We study analogous effects in the time evolution operators of JT gravity and Brownian SYK. In JT gravity with bulk matter we find an explanation for the first sub-leading terms, and in Brownian SYK we find configurations that can explain the full series. An important role is played by slightly off-shell modes that are exponentially amplified by chaos.

Research Organization:
Stanford Univ., CA (United States)
Sponsoring Organization:
National Science Foundation (NSF); Simons Foundation; USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0021085
OSTI ID:
1908102
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2022; ISSN 1029-8479
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

References (28)

Chaos in quantum channels journal February 2016
Black holes and the butterfly effect journal March 2014
Chaos and complexity by design journal April 2017
Stringy effects in scrambling journal May 2015
The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual journal May 2018
Statistical mechanics of a two-dimensional black hole journal May 2019
The quantum gravity dynamics of near extremal black holes journal May 2019
Replica wormholes and the entropy of Hawking radiation journal May 2020
Six-point functions and collisions in the black hole interior journal August 2021
Entanglement wedge reconstruction and the information paradox journal September 2020
Models of AdS2 backreaction and holography journal November 2015
Quantum chaos in the Brownian SYK model with large finite N : OTOCs and tripartite information journal November 2019
The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole journal December 2019
Integration with Respect to the Haar Measure on Unitary, Orthogonal and Symplectic Group journal March 2006
Gravitation and hamiltonian structure in two spacetime dimensions journal June 1983
Lower dimensional gravity journal January 1985
The gravitational shock wave of a massless particle journal January 1985
The black hole interpretation of string theory journal April 1990
Eikonal quantum gravity and planckian scattering journal December 1992
Black holes as mirrors: quantum information in random subsystems journal September 2007
Fast scramblers journal October 2008
Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space journal November 2016
Gapless spin-fluid ground state in a random quantum Heisenberg magnet journal May 1993
Average entropy of a subsystem journal August 1993
Quantum Entanglement Growth under Random Unitary Dynamics journal July 2017
Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws journal April 2018
Operator Spreading in Random Unitary Circuits journal April 2018
JT gravity and the ensembles of random matrix theory journal January 2020