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Finite-cutoff JT gravity and self-avoiding loops
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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.
Forward citations
Cited by 4 Pith papers
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Quantum JT Gravity in a box as a P\"oschl-Teller Scattering Problem
JT gravity in a box is quantized exactly by recasting its dynamics as Pöschl-Teller scattering, producing closed-form wavefunctions and correlators with finite-cutoff corrections beyond T Tbar.
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JT gravity on the worldline
Coupling a worldline observer to JT gravity replaces its evolution operator by an exactly computed average over fluctuating Euclidean times; the fluctuations are small in the disk but large on the double trumpet.
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Open-Channel Operator Closure of the Finite-Cutoff JT Gravity Disk Amplitude
The finite-cutoff JT gravity disk amplitude is reproduced via open-channel operators as a boundary-state matrix element, with the geodesic sector shown to be bandlimited and the branch-difference amplitude not equival...
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Undulating Conformal Boundaries in 3D Gravity
Inhomogeneous torus boundaries in 3D gravity are thermodynamically favourable for AdS in the range 2 < K |Λ|^{-1/2} < 3/√2 and support macroscopic entropy for all Λ.
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