The DOI matches its Crossref record; 88 of the 88 references it cites were found in a registry or an index.
Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
Open accessAbstract
The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of J\f = 4 super Yang-Mills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Anti-de Sitter space.In this description, quantum phenomena such as the spontaneous breaking of the center of the gauge group, magnetic confinement, and the mass gap are coded in classical geometry.The correspondence makes it manifest that the entropy of a very large AdS Schwarzschild black hole must scale "holographically" with the volume of its horizon.By similar methods, one can also make a speculative proposal for the description of large N gauge theories in four dimensions without supersymmetry.
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“Since tt > 0 in our Green's functions, they are actually retarded correlators, and the large-time decay can be understood in terms of complex frequencies, a thermal analog of the so-called “quasinormal modes” [9].”
From Very long time scales and black hole thermal equilibrium (2003) · cites this paper as [9]
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Cites
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106
Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070
Self-citationThe Large N Limit of Superconformal Field Theories and SupergravityPreprint
Maldacena, J. (1998) · Cited by 12,249
Gauge theory correlators from non-critical string theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00377-3 · Cited by 9,307
Bekenstein, J. D. (1973) · Physical Review D · doi:10.1103/physrevd.7.2333 · Cited by 7,555
Gauge Theory Correlators from Non-Critical String Theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · CERN Document Server (European Organization for Nuclear Research) · Cited by 6,627
Itzykson, C., & Zuber, J.-B. (1980) · Cited by 5,652
A planar diagram theory for strong interactions
Hooft, G. '. (1974) · Nuclear Physics B · doi:10.1016/0550-3213(74)90154-0 · Cited by 4,476
Susskind, L. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531249 · Cited by 4,085
Action integrals and partition functions in quantum gravity
Gibbons, G. W., & Hawking, S. W. (1977) · Physical Review D · doi:10.1103/physrevd.15.2752 · Cited by 3,449
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Research works printed but not linked: 6
- P. Claus, R. Kallosh, J. Kumar, P. Townsend, and A. van Proeyen, "Conformal Field Theory Of M2, D3, M5, and Dl- Branes + D5-Branes", hep-th/9801206. · arXiv
- S. S. Gubser, L R. Klebanov, and A. M. Polyakov, "Gauge Tieory Correlators From Noncritical String Theory 77 , hep-th/9802109. · arXiv
- M. Bershadsky, Z. Kakushadze, and C. Vafa, "String Expansion As Large N Expansion Of Gauge Theories 77 , hep-th/9803076. · arXiv
- S. Minwalla, "Particles on AdS^p And Primary Operators On M2/5 Brane Wbridvoiumes", hep-th/9803053. · arXiv
- A. Rajaraman, "Two-Form Fields And The Gauge Theory Descrip- tion Of Black Holes", hep-th/9803082. · arXiv
- A. Strominger, "Black Hole Entropy From Near-Norizon Mi- crostates", hep-th/9712251. · arXiv
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Replica symmetry breaking in random matrix model: A toy model of wormhole networks
Okuyama, K. (2020) · Physics Letters B · doi:10.1016/j.physletb.2020.135280 · Cited by 18
Metadata
- Authors
- Witten, E.
- Affiliations
- Princeton University (US)
- Corresponding author
- Witten, Edward
- ORCID
- Witten, Edward
- Venue
- Advances in Theoretical and Mathematical Physics
- Publisher
- International Press of Boston
- Published
- 1998
- Volume
- 2
- Issue
- 3
- Pages
- 505-532
- ISSN
- 1095-0753 (ISSN-L)
- 1095-0761
- OpenAlex
- W2129925474
- Cited by
- 3,915
- References
- 83
- Citations by year
- 2026: 114 · 2025: 156 · 2024: 198 · 2023: 153 · 2022: 150 · 2021: 159 · 2020: 193 · 2019: 126 · 2018: 130 · 2017: 136 · 2016: 182 · 2015: 162 · 2014: 137 · 2013: 154 · 2012: 155
- FWCI
- 70.73
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Advances in Theoretical and Mathematical Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Keywords
- AdS/CFT correspondence, anti-de Sitter space, Schwarzschild black hole, temperature-induced phase transition, center symmetry breaking, magnetic confinement, mass gap, holographic entropy, large N gauge theory, supersymmetric Yang-Mills theory, supergravity, string theory
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