Spectral representation of thermal OTO correlators

Chaudhuri, Soumyadeep (0000 0004 0502 9283, International Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental Research, Shivakote, Hesaraghatta Hobli, Bangalore, 560089, India) ; Chowdhury, Chandramouli (0000 0004 0502 9283, International Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental Research, Shivakote, Hesaraghatta Hobli, Bangalore, 560089, India) (0000 0001 1887 8311, Department of Physics, Indian Institute of Technology Guwahati, Surjyamukhi Road, North, Amingaon, Guwahati, 781039, India) ; Loganayagam, R. (0000 0004 0502 9283, International Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental Research, Shivakote, Hesaraghatta Hobli, Bangalore, 560089, India)

08 May 2019

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 fundamental 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 decomposition 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.


Published in: JHEP 1902 (2019) 018
Published by: Springer/SISSA
DOI: 10.1007/JHEP02(2019)018
arXiv: 1810.03118
License: CC-BY-4.0



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