Correlation functions in Schwarzian liquidopen access
- Authors
- Qi, Yong-Hui; Seo, Yunseok; Sin, Sang-Jin; Song, Geunho
- Issue Date
- Mar-2019
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW D, v.99, no.6, pp.1 - 60
- Indexed
- SCIE
SCOPUS
- Journal Title
- PHYSICAL REVIEW D
- Volume
- 99
- Number
- 6
- Start Page
- 1
- End Page
- 60
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/148230
- DOI
- 10.1103/PhysRevD.99.066001
- ISSN
- 2470-0010
- Abstract
- We analytically study low-temperature universal properties of a class of SYK-type models in the large N limit from the AdS(2) gravity dual side in terms of SL(2, R)-invariant Schwarzian action. The quantum correction to the conformal field theory CFT1 two-point correlation function due to the Schwarzian action produces a transfer of degree of freedom from the quasiparticle peak to the Hubbard band in density of states (DOS), a signature strong correlation. In Schwinger-Keldysh (SK) formalism, we calculate higher-point thermal out-of-time order correlation (OTOC) functions, which indicate quantum chaos by having a Lyapunov exponent. Higher-order local spin-spin correlations are also calculated, which can be related to the dynamical local susceptibility of quantum liquids such as the spin liquid in disordered metals, marginal Fermi liquid, non-Fermi liquid, etc.
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