in and quantum mechanics
Abstract
Quantum field theory in zero spatial dimensions has a rich infrared landscape and a universal ultraviolet, inverting the usual Wilsonian paradigm. For holographic theories this implies a rich landscape of asymptotically AdS2 geometries. Isolating the interiors of these spacetimes suggests a study of the analog of the $$T\bar{T}$$ deformation in quantum mechanics, which we pursue here. An equivalent description of this deformation in terms of coupling to worldline gravity is proposed, and applications to quantum-mechanical systems—including the Schwarzian theory—are studied.
- Authors:
- Publication Date:
- Research Org.:
- Brandeis Univ., Waltham, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); Dutch Ministry of Education, Culture and Science (OCW); National Science Foundation (NSF); Simons Foundation
- OSTI Identifier:
- 1582493
- Alternate Identifier(s):
- OSTI ID: 1801975
- Grant/Contract Number:
- SC0009987; NSF PHY-1748958; PHY-1316748; 488643; 1125915
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 2; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Astronomy & Astrophysics; Physics
Citation Formats
Gross, David J., Kruthoff, Jorrit, Rolph, Andrew, and Shaghoulian, Edgar. T T ¯ in AdS 2 and quantum mechanics. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.026011.
Gross, David J., Kruthoff, Jorrit, Rolph, Andrew, & Shaghoulian, Edgar. T T ¯ in AdS 2 and quantum mechanics. United States. https://doi.org/10.1103/PhysRevD.101.026011
Gross, David J., Kruthoff, Jorrit, Rolph, Andrew, and Shaghoulian, Edgar. Mon .
"T T ¯ in AdS 2 and quantum mechanics". United States. https://doi.org/10.1103/PhysRevD.101.026011.
@article{osti_1582493,
title = {T T ¯ in AdS 2 and quantum mechanics},
author = {Gross, David J. and Kruthoff, Jorrit and Rolph, Andrew and Shaghoulian, Edgar},
abstractNote = {Quantum field theory in zero spatial dimensions has a rich infrared landscape and a universal ultraviolet, inverting the usual Wilsonian paradigm. For holographic theories this implies a rich landscape of asymptotically AdS2 geometries. Isolating the interiors of these spacetimes suggests a study of the analog of the $T\bar{T}$ deformation in quantum mechanics, which we pursue here. An equivalent description of this deformation in terms of coupling to worldline gravity is proposed, and applications to quantum-mechanical systems—including the Schwarzian theory—are studied.},
doi = {10.1103/PhysRevD.101.026011},
journal = {Physical Review D},
number = 2,
volume = 101,
place = {United States},
year = {2020},
month = {1}
}
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https://doi.org/10.1103/PhysRevD.101.026011
https://doi.org/10.1103/PhysRevD.101.026011
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Cited by: 12 works
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Works referenced in this record:
T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed 2D quantum field theories
journal, October 2016
- Cavaglià, Andrea; Negro, Stefano; Szécsényi, István M.
- Journal of High Energy Physics, Vol. 2016, Issue 10
Ostrogradsky's theorem on Hamiltonian instability
journal, January 2015
- Woodard, Richard
- Scholarpedia, Vol. 10, Issue 8
An investigation of AdS2 backreaction and holography
journal, July 2016
- Engelsöy, Julius; Mertens, Thomas G.; Verlinde, Herman
- Journal of High Energy Physics, Vol. 2016, Issue 7
Conformal symmetry breaking and thermodynamics of near-extremal black holes
journal, October 2016
- Almheiri, Ahmed; Kang, Byungwoo
- Journal of High Energy Physics, Vol. 2016, Issue 10
T T ¯ $$ T\overline{T} $$ partition function from topological gravity
journal, September 2018
- Dubovsky, Sergei; Gorbenko, Victor; Hernández-Chifflet, Guzmán
- Journal of High Energy Physics, Vol. 2018, Issue 9
T T
¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ and LST
journal, July 2017
- Giveon, Amit; Itzhaki, Nissan; Kutasov, David
- Journal of High Energy Physics, Vol. 2017, Issue 7
T T ¯ $$ T\overline{T} $$ -deformations in closed form
journal, June 2018
- Bonelli, Giulio; Doroud, Nima; Zhu, Mengqi
- Journal of High Energy Physics, Vol. 2018, Issue 6
Chaos in Holography
journal, September 2016
- Jensen, Kristan
- Physical Review Letters, Vol. 117, Issue 11
Gravitation and hamiltonian structure in two spacetime dimensions
journal, June 1983
- Teitelboim, Claudio
- Physics Letters B, Vol. 126, Issue 1-2
T T ¯ $$ T\overline{T} $$ -deformations, AdS/CFT and correlation functions
journal, February 2018
- Giribet, Gaston
- Journal of High Energy Physics, Vol. 2018, Issue 2
dS/dS and T T ¯ $$ T\overline{T} $$
journal, March 2019
- Gorbenko, Victor; Silverstein, Eva; Torroba, Gonzalo
- Journal of High Energy Physics, Vol. 2019, Issue 3
On T T ¯ $$ T\overline{T} $$ deformations and supersymmetry
journal, June 2019
- Baggio, Marco; Sfondrini, Alessandro; Tartaglino-Mazzucchelli, Gabriele
- Journal of High Energy Physics, Vol. 2019, Issue 6
Asymptotic fragility, near AdS2 holography and T T
¯ $$ T\overline{T} $$
journal, September 2017
- Dubovsky, Sergei; Gorbenko, Victor; Mirbabayi, Mehrdad
- Journal of High Energy Physics, Vol. 2017, Issue 9
Statistical mechanics of a two-dimensional black hole
journal, May 2019
- Kitaev, Alexei; Suh, S. Josephine
- Journal of High Energy Physics, Vol. 2019, Issue 5
Infrared realization of dS 2 in AdS 2
journal, March 2018
- Anninos, Dionysios; Hofman, Diego M.
- Classical and Quantum Gravity, Vol. 35, Issue 8
Moving the CFT into the bulk with T T ¯ $$ T\overline{T} $$
journal, April 2018
- McGough, Lauren; Mezei, Márk; Verlinde, Herman
- Journal of High Energy Physics, Vol. 2018, Issue 4
Evanescent black holes
journal, February 1992
- Callan, Curtis G.; Giddings, Steven B.; Harvey, Jeffrey A.
- Physical Review D, Vol. 45, Issue 4
Entanglement beyond AdS
journal, October 2018
- Chakraborty, Soumangsu; Giveon, Amit; Itzhaki, Nissan
- Nuclear Physics B, Vol. 935
Thermodynamics of black holes in two (and higher) dimensions
journal, April 2007
- Grumiller, Daniel; McNees, Robert
- Journal of High Energy Physics, Vol. 2007, Issue 04
A solvable irrelevant deformation of AdS3/CFT2
journal, December 2017
- Giveon, Amit; Itzhaki, Nissan; Kutasov, David
- Journal of High Energy Physics, Vol. 2017, Issue 12
Generalised Born-Infeld models, Lax operators and the T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ perturbation
journal, November 2018
- Conti, Riccardo; Iannella, Leonardo; Negro, Stefano
- Journal of High Energy Physics, Vol. 2018, Issue 11
Holography Beyond AdS
journal, July 2018
- Asrat, Meseret; Giveon, Amit; Itzhaki, Nissan
- Nuclear Physics B, Vol. 932
Holographic description of AdS 2 black holes
journal, November 2008
- Castro, Alejandra; Grumiller, Daniel; Larsen, Finn
- Journal of High Energy Physics, Vol. 2008, Issue 11
T T ¯ deformations with N = ( 0 , 2 ) supersymmetry
journal, August 2019
- Jiang, Hongliang; Sfondrini, Alessandro; Tartaglino-Mazzucchelli, Gabriele
- Physical Review D, Vol. 100, Issue 4
De Sitter horizons & holographic liquids
journal, July 2019
- Anninos, Dionysios; Galante, Damián A.; Hofman, Diego M.
- Journal of High Energy Physics, Vol. 2019, Issue 7
Holography at finite cutoff with a T2 deformation
journal, March 2019
- Hartman, Thomas; Kruthoff, Jorrit; Shaghoulian, Edgar
- Journal of High Energy Physics, Vol. 2019, Issue 3
On space of integrable quantum field theories
journal, February 2017
- Smirnov, F. A.; Zamolodchikov, A. B.
- Nuclear Physics B, Vol. 915
Supersymmetry and T T ¯ $$ T\overline{T} $$ deformations
journal, April 2019
- Chang, Chih-Kai; Ferko, Christian; Sethi, Savdeep
- Journal of High Energy Physics, Vol. 2019, Issue 4
A Stress Tensor for Anti-de Sitter Gravity
journal, December 1999
- Balasubramanian, Vijay; Kraus, Per
- Communications in Mathematical Physics, Vol. 208, Issue 2
Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space
journal, November 2016
- Maldacena, Juan; Stanford, Douglas; Yang, Zhenbin
- Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 12
Fermionic localization of the schwarzian theory
journal, October 2017
- Stanford, Douglas; Witten, Edward
- Journal of High Energy Physics, Vol. 2017, Issue 10
The quantum gravity dynamics of near extremal black holes
journal, May 2019
- Yang, Zhenbin
- Journal of High Energy Physics, Vol. 2019, Issue 5