Thermal out-of-time-order correlators, KMS relations, and spectral functions

R. Kubo, Statistical mechanical theory of irreversible processes. 1. General theory and simple applications in magnetic and conduction problems , J. Phys. Soc. Jap. 12

1957

Earlier work this paper cites.

P. C. Martin and J. S. Schwinger, Theory of many particle systems. 1. , Phys. Rev. 115

1959

Earlier work this paper cites.

R. Feynman and J. Vernon, F.L., The Theory of a general quantum system interacting with a linear dissipative system , Annals Phys. 24

1963

Earlier work this paper cites.

R. Haag, N. M. Hugenholtz and M. Winnink, On the Equilibrium states in quantum statistical mechanics , Commun. Math. Phys. 5

1967

Earlier work this paper cites.

A. I. Larkin and Y. N. Ovchinnikov, Quasiclassical method in the theory of superconductivity , Sov.Phys.JETP 28

1969

Earlier work this paper cites.

A. O. Caldeira and A. J. Leggett, Path integral approach to quantum Brownian motion , Physica 121A

1983

Earlier work this paper cites.

K.-c. Chou, Z.-b. Su, B.-l. Hao and L. Yu, Equilibrium and Nonequilibrium Formalisms Made Unified , Phys.Rept. 118

1985

Earlier work this paper cites.

T. S. Evans, Spectral representation of three point functions at finite temperature , Phys. Lett. B252

1990

Earlier work this paper cites.

T. S. Evans, THREE POINT FUNCTIONS AT FINITE TEMPERATURE , Phys. Lett. B249

1990

Earlier work this paper cites.

P. Aurenche and T. Becherrawy, A Comparison of the real time and the imaginary time formalisms of finite temperature field theory for 2, 3, and 4 point Green’s functions , Nucl. Phys. B379

1992

Earlier work this paper cites.

T. S. Evans, N point finite temperature expectation values at real times , Nucl. Phys. B374

1992

Earlier work this paper cites.

J. C. Taylor, On real and imaginary time thermal field theory , Phys. Rev. D47

1993

Cited alongside, same era.

J. C. Taylor, Spectral representation of hard thermal loops , Phys. Rev. D48

1993

Cited alongside, same era.

F. Guerin, Retarded - advanced N point Green functions in thermal field theories , Nucl. Phys. B432

1994

Cited alongside, same era.

C. Jarzynski, Nonequilibrium equality for free energy differences , Physical Review Letters 78

1997

Cited alongside, same era.

C. Jarzynski, Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach , Physical Review E 56

1997

Cited alongside, same era.

M. E. Carrington and U. W. Heinz, Three point functions at finite temperature , Eur. Phys. J. C1

Cambridge University Press, 2011

M. L. Bellac, Thermal Field Theory · 2011

Later among the works it cites.

S. H. Shenker and D. Stanford, Black holes and the butterfly effect , JHEP 03

Original

2014

Later among the works it cites.

C. J. Fewster and D. Siemssen, Enumerating Permutations by their Run Structure , ArXiv e-prints (Mar., 2014) , [ 1403.1723 ]

Original

2014

Later among the works it cites.

L. M. Sieberer, A. Chiocchetta, A. Gambassi, U. C. Täuber and S. Diehl, Thermodynamic Equilibrium as a Symmetry of the Schwinger-Keldysh Action , Phys. Rev. B92

Original

2015

Later among the works it cites.

J. Maldacena, S. H. Shenker and D. Stanford, A bound on chaos , JHEP 08

Original

2016