On the replica structure of Sachdev-Ye-Kitaev model

Wang, Hanteng; Bagrets, D.; Chudnovskiy, A. L.; Kamenev, A.

doi:10.1007/jhep09(2019)057

Title: On the replica structure of Sachdev-Ye-Kitaev model

Journal Article · 09 September 2019 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep09(2019)057 · OSTI ID:1609975

Wang, Hanteng ^[1]; Bagrets, D. ^[2];

^[3]; Kamenev, A. ^[1]

Univ. of Minnesota, Minneapolis, MN (United States)
Universität zu Köln (Germany)
Univ. of Hamburg (Germany)

We investigate existence of replica off-diagonal solutions in the field-theoretical description of Sachdev-Ye-Kitaev model. To this end we evaluate a set of local and non-local dynamic correlation functions in the long time limit. We argue that the structure of the soft-mode Schwarzian action is qualitatively different in replica-diagonal vs. replica-off-diagonal scenarios, leading to distinct long-time predictions for the correlation functions. We then evaluate the corresponding correlation functions numerically and compare the simulations with analytical predictions of replica-diagonal and replica-off-diagonal calculations. We conclude that all our numerical results are in a quantitative agreement with the theory based on the replica-diagonal saddle point plus Schwarzian and massive Gaussian fluctuations (the latter do contain replica off-diagonal components). This seems to exclude any contributions from replica-off-diagonal saddle points, at least on the time scales shorter than the inverse many-body level spacing.

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Research Organization:: Yale Univ., New Haven, CT (United States)

Sponsoring Organization:: USDOE Office of Science (SC); National Science Foundation (NSF)

Grant/Contract Number:: FG02-08ER46482; DMR-1608238

OSTI ID:: 1609975

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 9; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 14 works

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