Finite-cutoff JT gravity and self-avoiding loops

Abstract

We study quantum JT gravity at finite cutoff using a mapping to the statistical mechanics of a self-avoiding loop in hyperbolic space, with positive pressure and fixed length. The semiclassical limit (small $G_N$) corresponds to large pressure, and we solve the problem in that limit in three overlapping regimes that apply for different loop sizes. For intermediate loop sizes, a semiclassical effective description is valid, but for very large or very small loops, fluctuations dominate. For large loops, this quantum regime is controlled by the Schwarzian theory. For small loops, the effective description fails altogether, but the problem is controlled using a conjecture from the theory of self-avoiding walks.

We are coordinating the submission with a related work by Iliesiu, Kruthoff, Turiaci, and H. Verlinde

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Cited by in corpus (15)

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• Explorations of Non-Perturbative JT Gravity and Supergravity
• New boundary conditions for AdS${}_2$
• Aspects of AdS${}_2$ Quantum Gravity and the Karch-Randall Braneworld
• Gravitational path integral from the $T^2$ deformation
• 3D Gravity in a Box
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• Jackiw-Teitelboim and Kantowski-Sachs quantum cosmology
• Jackiw-Teitelboim quantum gravity with defects and the Aharonov-Bohm effect
• $T\bar{T}$ deformation of random matrices
• Schwarzian functional integrals calculus
• One-dimensional Quantum Gravity and the Schwarzian theory
• JT gravity at finite cutoff
• (Half) Wormholes under Irrelevant Deformation
• Tensor Field Theories: Renormalization and Random Geometry