Built on

P. Saad, S. H. Shenker and D. Stanford, JT gravity as a matrix integral , 1903.11115
Original
1903
Earlier work this paper cites.
T. G. Mertens and G. J. Turiaci, Defects in Jackiw-Teitelboim Quantum Gravity , JHEP 08
Original
1904
Earlier work this paper cites.
J. Maldacena, G. J. Turiaci and Z. Yang, Two dimensional Nearly de Sitter gravity , 1904.01911
Original
1904
Earlier work this paper cites.
L. V. Iliesiu, S. S. Pufu, H. Verlinde and Y. Wang, An exact quantization of Jackiw-Teitelboim gravity , JHEP 11
Original
1905
Earlier work this paper cites.
J. Cotler, K. Jensen and A. Maloney, Low-dimensional de Sitter quantum gravity , 1905.03780
Original
1905
Earlier work this paper cites.
M. Guica and R. Monten, T T ¯ T\overline{T} and the mirage of a bulk cutoff , 1906.11251
Original
1906
Earlier work this paper cites.
D. J. Gross, J. Kruthoff, A. Rolph and E. Shaghoulian, T T ¯ T\overline{T} in AdS 2 and Quantum Mechanics , Phys. Rev. D101
Original
1907
Earlier work this paper cites.
L. V. Iliesiu, On 2D gauge theories in Jackiw-Teitelboim gravity , 1909.05253
Original
1909
Earlier work this paper cites.
N. Callebaut, J. Kruthoff and H. Verlinde, T T ¯ T\overline{T} deformed CFT as a non-critical string , 1910.13578
Original
1910
Earlier work this paper cites.
D. J. Gross, J. Kruthoff, A. Rolph and E. Shaghoulian, Hamiltonian deformations in quantum mechanics, T T ¯ T\overline{T} , and SYK , 1912.06132
Original
1912
Earlier work this paper cites.
S. J. Suh, Dynamics of black holes in Jackiw-Teitelboim gravity , JHEP 03
Original
1912
Earlier work this paper cites.
A. Ghosh, H. Maxfield and G. J. Turiaci, A universal Schwarzian sector in two-dimensional conformal field theories , 1912.07654
Original
1912
Earlier work this paper cites.
E. A. Mazenc, V. Shyam and R. M. Soni, A T T ¯ T\overline{T} Deformation for Curved Spacetimes from 3d Gravity , 1912.09179
Original
1912
Earlier work this paper cites.
B. S. DeWitt, Quantum Theory of Gravity. 1. The Canonical Theory , Phys. Rev. 160
1967
Earlier work this paper cites.
J. B. Hartle and S. W. Hawking, Wave function of the universe , Phys. Rev. D 28
1983
Earlier work this paper cites.
M. Henneaux, Quantum Gravity In Two Dimensions: Exact Solution Of The Jackiw Model , Phys. Rev. Lett. 54
1985
Earlier work this paper cites.
H. J. Silverstone, JWKB Connection-Formula Problem Revisited via Borel Summation , Phys. Rev. Lett. 55
1985
Earlier work this paper cites.

Similar

E. Witten, Quantum Field Theory and the Jones Polynomial , Commun. Math. Phys. 121
1989
Cited alongside, same era.
A. Alekseev and S. L. Shatashvili, Path Integral Quantization of the Coadjoint Orbits of the Virasoro Group and 2D Gravity , Nucl. Phys. B 323
1989
Cited alongside, same era.
S. B. Giddings and A. Strominger, Baby Universes, Third Quantization and the Cosmological Constant , Nucl. Phys. B 321
1989
Cited alongside, same era.
A. Hosoya and K.-i. Nakao, (2+1)-Dimensional Quantum Gravity: Case of Torus Universe , Progress of Theoretical Physics 84
1990
Cited alongside, same era.
A. Hosoya and K.-i. Nakao, (2+1)-dimensional Pure Gravity for an Arbitrary Closed Initial Surface , Class. Quant. Grav. 7
1990
Cited alongside, same era.

Then

K. Jensen, Chaos in AdS 2 Holography , Phys. Rev. Lett. 117
Original
2016
Later among the works it cites.
J. Engelsöy, T. G. Mertens and H. Verlinde, An investigation of AdS 2
Original
2016
Later among the works it cites.
F. A. Smirnov and A. B. Zamolodchikov, On space of integrable quantum field theories , Nucl. Phys. B915
Original
2017
Later among the works it cites.
D. Stanford and E. Witten, Fermionic Localization of the Schwarzian Theory , JHEP 10
Original
2017
Later among the works it cites.
T. G. Mertens, G. J. Turiaci and H. L. Verlinde, Solving the Schwarzian via the Conformal Bootstrap , JHEP 08
Original

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2020

JT gravity at finite cutoff

Iliesiu, Luca V., Kruthoff, Jorrit, Turiaci, Gustavo J. et al.

Understand

We compute the partition function of $2D$ Jackiw-Teitelboim (JT) gravity at finite cutoff in two ways: (i) via an exact evaluation of the Wheeler-DeWitt wave-functional in radial quantization and (ii) through a direct computation of the Euclidean path integral.

Both methods deal with Dirichlet boundary conditions for the metric and the dilaton.
In the first approach, the radial wavefunctionals are found by reducing the constraint equations to two first order functional derivative equations that can be solved exactly, including factor ordering.
In the second approach we perform the path integral exactly when summing over surfaces with disk topology, to all orders in perturbation theory in the cutoff.

Built on

P. Saad, S. H. Shenker and D. Stanford, JT gravity as a matrix integral , 1903.11115
Original
1903
Earlier work this paper cites.
T. G. Mertens and G. J. Turiaci, Defects in Jackiw-Teitelboim Quantum Gravity , JHEP 08
Original
1904
Earlier work this paper cites.
J. Maldacena, G. J. Turiaci and Z. Yang, Two dimensional Nearly de Sitter gravity , 1904.01911
Original
1904
Earlier work this paper cites.
L. V. Iliesiu, S. S. Pufu, H. Verlinde and Y. Wang, An exact quantization of Jackiw-Teitelboim gravity , JHEP 11
Original
1905
Earlier work this paper cites.
J. Cotler, K. Jensen and A. Maloney, Low-dimensional de Sitter quantum gravity , 1905.03780
Original
1905
Earlier work this paper cites.
M. Guica and R. Monten, T T ¯ T\overline{T} and the mirage of a bulk cutoff , 1906.11251
Original
1906
Earlier work this paper cites.
D. J. Gross, J. Kruthoff, A. Rolph and E. Shaghoulian, T T ¯ T\overline{T} in AdS 2 and Quantum Mechanics , Phys. Rev. D101
Original
1907
Earlier work this paper cites.
L. V. Iliesiu, On 2D gauge theories in Jackiw-Teitelboim gravity , 1909.05253
Original
1909
Earlier work this paper cites.
N. Callebaut, J. Kruthoff and H. Verlinde, T T ¯ T\overline{T} deformed CFT as a non-critical string , 1910.13578
Original
1910
Earlier work this paper cites.
D. J. Gross, J. Kruthoff, A. Rolph and E. Shaghoulian, Hamiltonian deformations in quantum mechanics, T T ¯ T\overline{T} , and SYK , 1912.06132
Original
1912
Earlier work this paper cites.
S. J. Suh, Dynamics of black holes in Jackiw-Teitelboim gravity , JHEP 03
Original
1912
Earlier work this paper cites.
A. Ghosh, H. Maxfield and G. J. Turiaci, A universal Schwarzian sector in two-dimensional conformal field theories , 1912.07654
Original
1912
Earlier work this paper cites.
E. A. Mazenc, V. Shyam and R. M. Soni, A T T ¯ T\overline{T} Deformation for Curved Spacetimes from 3d Gravity , 1912.09179
Original
1912
Earlier work this paper cites.
B. S. DeWitt, Quantum Theory of Gravity. 1. The Canonical Theory , Phys. Rev. 160
1967
Earlier work this paper cites.
J. B. Hartle and S. W. Hawking, Wave function of the universe , Phys. Rev. D 28
1983
Earlier work this paper cites.
M. Henneaux, Quantum Gravity In Two Dimensions: Exact Solution Of The Jackiw Model , Phys. Rev. Lett. 54
1985
Earlier work this paper cites.
H. J. Silverstone, JWKB Connection-Formula Problem Revisited via Borel Summation , Phys. Rev. Lett. 55
1985
Earlier work this paper cites.

Similar

E. Witten, Quantum Field Theory and the Jones Polynomial , Commun. Math. Phys. 121
1989
Cited alongside, same era.
A. Alekseev and S. L. Shatashvili, Path Integral Quantization of the Coadjoint Orbits of the Virasoro Group and 2D Gravity , Nucl. Phys. B 323
1989
Cited alongside, same era.
S. B. Giddings and A. Strominger, Baby Universes, Third Quantization and the Cosmological Constant , Nucl. Phys. B 321
1989
Cited alongside, same era.
A. Hosoya and K.-i. Nakao, (2+1)-Dimensional Quantum Gravity: Case of Torus Universe , Progress of Theoretical Physics 84
1990
Cited alongside, same era.
A. Hosoya and K.-i. Nakao, (2+1)-dimensional Pure Gravity for an Arbitrary Closed Initial Surface , Class. Quant. Grav. 7
1990
Cited alongside, same era.

Then

K. Jensen, Chaos in AdS 2 Holography , Phys. Rev. Lett. 117
Original
2016
Later among the works it cites.
J. Engelsöy, T. G. Mertens and H. Verlinde, An investigation of AdS 2
Original
2016
Later among the works it cites.
F. A. Smirnov and A. B. Zamolodchikov, On space of integrable quantum field theories , Nucl. Phys. B915
Original
2017
Later among the works it cites.
D. Stanford and E. Witten, Fermionic Localization of the Schwarzian Theory , JHEP 10
Original
2017
Later among the works it cites.
T. G. Mertens, G. J. Turiaci and H. L. Verlinde, Solving the Schwarzian via the Conformal Bootstrap , JHEP 08
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

T. Thiemann and H. A. Kastrup, Canonical quantization of spherically symmetric gravity in Ashtekar’s selfdual representation , Nucl. Phys. B399

1993

Cited alongside, same era.

D. Louis-Martinez, J. Gegenberg and G. Kunstatter, Exact Dirac quantization of all 2-D dilaton gravity theories , Phys. Lett. B321

1994

Cited alongside, same era.

G. Kunstatter, R. Petryk and S. Shelemy, Hamiltonian thermodynamics of black holes in generic 2-D dilaton gravity , Phys. Rev. D57

1998

Cited alongside, same era.

J. M. Maldacena, Non-Gaussian features of primordial fluctuations in single field inflationary models , JHEP 05

2003

Cited alongside, same era.

L. V. Iliesiu and G. J. Turiaci, The statistical mechanics of near-extremal black holes , 2003.02860

Original

2003

Cited alongside, same era.

D. Stanford and Z. Yang, Finite-cutoff JT gravity and self-avoiding loops , 2004.XXXXX

2004

Cited alongside, same era.

A. Castro and A. Maloney, The Wave Function of Quantum de Sitter , JHEP 11

Original

2012

Cited alongside, same era.

2017