On the perturbative expansion of exact bi-local correlators in JT gravity

A bstract We study the perturbative series associated to bi-local correlators in Jackiw-Teitelboim (JT) gravity, for positive weight λ of the matter CFT operators. Starting from the known exact expression, derived by CFT and gauge theoretical methods, we reproduce the Schwarzian semiclassical expans...

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Bibliographic Details
Published in:The journal of high energy physics 2021-05, Vol.2021 (5), p.1-31, Article 140
Main Authors: Griguolo, Luca, Papalini, Jacopo, Seminara, Domenico
Format: Article
Language:English
Subjects:
2D Gravity
Asymptotic properties
Boundary Quantum Field Theory
Classical and Quantum Gravitation
Conformal Field Theory
Correlators
Elementary Particles
Gauge-gravity correspondence
Gravity
High energy physics
Integrals
Operators (mathematics)
Physics
Physics and Astronomy
Polynomials
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
Topology
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Summary:A bstract We study the perturbative series associated to bi-local correlators in Jackiw-Teitelboim (JT) gravity, for positive weight λ of the matter CFT operators. Starting from the known exact expression, derived by CFT and gauge theoretical methods, we reproduce the Schwarzian semiclassical expansion beyond leading order. The computation is done for arbitrary temperature and finite boundary distances, in the case of disk and trumpet topologies. A formula presenting the perturbative result (for λ ∈ ℕ/2) at any given order in terms of generalized Apostol-Bernoulli polynomials is also obtained. The limit of zero temperature is then considered, obtaining a compact expression that allows to discuss the asymptotic behaviour of the perturbative series. Finally we highlight the possibility to express the exact result as particular combinations of Mordell integrals.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2021)140