Correlation functions in Schwarzian liquid
- Title
- Correlation functions in Schwarzian liquid
- Author
- 신상진
- Keywords
- MEAN-FIELD THEORY; COADJOINT ORBITS; QUANTUM; STATE; MODEL
- Issue Date
- 2019-03
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW D, v. 99, NO 6, no. 066001
- 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.
- URI
- https://journals.aps.org/prd/abstract/10.1103/PhysRevD.99.066001https://repository.hanyang.ac.kr/handle/20.500.11754/110041
- ISSN
- 2470-0010; 2470-0029
- DOI
- 10.1103/PhysRevD.99.066001
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > PHYSICS(물리학과) > Articles
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