Spectral Representation of Thermal OTO Correlators
Abstract
We study the spectral representation of finite temperature, out of time ordered (OTO) correlators on the multi-time-fold generalised Schwinger-Keldysh contour. We write the contour-ordered correlators as a sum over time-order permutations acting on a funda- mental array of Wightman correlators. We decompose this Wightman array in a basis of column vectors, which provide a natural generalisation of the familiar retarded-advanced basis in the finite temperature Schwinger-Keldysh formalism. The coefficients of this de- composition take the form of generalised spectral functions, which are Fourier transforms of nested and double commutators. Our construction extends a variety of classical results on spectral functions in the SK formalism at finite temperature to the OTO case.
Keywords
Cite
@article{arxiv.1810.03118,
title = {Spectral Representation of Thermal OTO Correlators},
author = {Soumyadeep Chaudhuri and Chandramouli Chowdhury and R. Loganayagam},
journal= {arXiv preprint arXiv:1810.03118},
year = {2019}
}
Comments
19 pages+appendices, references added