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Power-law out of time order correlation functions in the SYK model
- Source :
- Nuclear Physics B, Vol 921, Iss C, Pp 727-752 (2017), Nuclear Physics B
- Publication Year :
- 2017
- Publisher :
- Elsevier BV, 2017.
-
Abstract
- We evaluate the finite temperature partition sum and correlation functions of the Sachdev-Ye-Kitaev (SYK) model. Starting from a recently proposed mapping of the SYK model onto Liouville quantum mechanics, we obtain our results by exact integration over conformal Goldstone modes reparameterizing physical time. Perhaps, the least expected result of our analysis is that at time scales proportional to the number of particles the out of time order correlation function crosses over from a regime of exponential decay to a universal $t^{-6}$ power-law behavior.<br />25 pages, 3 figures, minor changes, version accepted for publication
- Subjects :
- High Energy Physics - Theory
Nuclear and High Energy Physics
FOS: Physical sciences
Syk
Conformal map
01 natural sciences
Power law
Correlation
Jackiw–Teitelboim gravity
Condensed Matter - Strongly Correlated Electrons
Quantum mechanics
0103 physical sciences
Partition (number theory)
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
Statistical physics
Exponential decay
010306 general physics
Goldstone
Physics
Strongly Correlated Electrons (cond-mat.str-el)
010308 nuclear & particles physics
Disordered Systems and Neural Networks (cond-mat.dis-nn)
Condensed Matter - Disordered Systems and Neural Networks
High Energy Physics - Theory (hep-th)
visual_art
visual_art.visual_art_medium
lcsh:QC770-798
Subjects
Details
- ISSN :
- 05503213
- Volume :
- 921
- Database :
- OpenAIRE
- Journal :
- Nuclear Physics B
- Accession number :
- edsair.doi.dedup.....ebe3c6279db4aad7e3a8816120675a1d