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 fundamental array of Wightman correlator...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2019)018 |
| _version_ | 1819170083354705920 |
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| author | Soumyadeep Chaudhuri Chandramouli Chowdhury R. Loganayagam |
| author_facet | Soumyadeep Chaudhuri Chandramouli Chowdhury R. Loganayagam |
| author_sort | Soumyadeep Chaudhuri |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-22T19:29:45Z |
| format | Article |
| id | doaj.art-f1d31fb4fa914102ad4da399b1265732 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T19:29:45Z |
| publishDate | 2019-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f1d31fb4fa914102ad4da399b12657322022-12-21T18:15:09ZengSpringerOpenJournal of High Energy Physics1029-84792019-02-012019215510.1007/JHEP02(2019)018Spectral representation of thermal OTO correlatorsSoumyadeep Chaudhuri0Chandramouli Chowdhury1R. Loganayagam2International Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchInternational Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchInternational Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchAbstract 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.http://link.springer.com/article/10.1007/JHEP02(2019)018Thermal Field TheoryQuantum Dissipative SystemsNonperturbative Effects |
| spellingShingle | Soumyadeep Chaudhuri Chandramouli Chowdhury R. Loganayagam Spectral representation of thermal OTO correlators Journal of High Energy Physics Thermal Field Theory Quantum Dissipative Systems Nonperturbative Effects |
| title | Spectral representation of thermal OTO correlators |
| title_full | Spectral representation of thermal OTO correlators |
| title_fullStr | Spectral representation of thermal OTO correlators |
| title_full_unstemmed | Spectral representation of thermal OTO correlators |
| title_short | Spectral representation of thermal OTO correlators |
| title_sort | spectral representation of thermal oto correlators |
| topic | Thermal Field Theory Quantum Dissipative Systems Nonperturbative Effects |
| url | http://link.springer.com/article/10.1007/JHEP02(2019)018 |
| work_keys_str_mv | AT soumyadeepchaudhuri spectralrepresentationofthermalotocorrelators AT chandramoulichowdhury spectralrepresentationofthermalotocorrelators AT rloganayagam spectralrepresentationofthermalotocorrelators |