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Wilson loops, confinement, and phase transitions in large N gauge theories from supergravity
Open accessAbstract
We use the recently proposed supergravity approach to large N gauge theories to calculate ordinary and spatial Wilson loops of gauge theories in various dimensions. In this framework we observe an area law for spatial Wilson loops in four and five dimensional supersymmetric Yang-Mills at finite temperature. This can be interpreted as the area law of ordinary Wilson loops in three and four dimensional non-supersymmetric gauge theories at zero temperature which indicates confinement in these theories. Furthermore, we show that super Yang Mills theories with 16 supersymmetries at finite temperature do not admit phase transitions between the weakly coupled super Yang Mills and supergravity regimes. This result is derived by analyzing the entropy and specific heat of those systems as well as by computing ordinary Wilson loops at finite temperature. The calculation of the entropy was carried out in all different regimes and indicates that there is no first order phase transition in these systems. For the same theories at zero temperature we also compute the dependence of the quark anti-quark potential on the separating distance.
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Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
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
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
Gauge Theory Correlators from Non-Critical String Theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · arXiv · doi:10.48550/arxiv.hep-th/9802109 · Cited by 9,307
Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n3.a3 · Cited by 3,915
Thermodynamics of black holes in anti-de Sitter space
Hawking, S. W., & Page, D. N. (1983) · Communications in Mathematical Physics · doi:10.1007/bf01208266 · Cited by 3,045
Cited by
Ryu, S., & Takayanagi, T. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.181602 · Cited by 4,302
Aspects of holographic entanglement entropy
Ryu, S., & Takayanagi, T. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/08/045 · Cited by 1,969
Hard Scattering and Gauge/String Duality
Polchinski, J., & Strassler, M. J. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.031601 · Cited by 830
Correlation functions in the CFT /AdS+1 correspondence
Freedman, D. Z., Mathur, S. D., Matusis, A., & Rastelli, L. (1999) · Nuclear Physics B · doi:10.1016/s0550-3213(99)00053-x · Cited by 817
Heavy quark diffusion in strongly coupledN=4Yang-Mills theory
Casalderrey-Solana, J., & Teaney, D. (2006) · Physical Review D · doi:10.1103/physrevd.74.085012 · Cited by 465
Metadata
- Authors
- Brandhuber, A., Itzhaki, N., Sonnenschein, J., & Yankielowicz, S.
- Venue
- Journal of High Energy Physics
- Published
- 1998-06-02
- Volume
- 1998
- Issue
- 06
- Pages
- 001-001
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W1996725573
- Cited by
- 195
- References
- 6
- FWCI
- 11.28
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Brandhuber, A., Itzhaki, N., Sonnenschein, J., & Yankielowicz, S. (1998). Wilson loops, confinement, and phase transitions in large N gauge theories from supergravity. Journal of High Energy Physics. https://doi.org/10.1088/1126-6708/1998/06/001
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