Abstract:
Using the correspondence between gauge theories and string theory in curved backgrounds, we investigate aspects of the large-N limit of non-commutative gauge theories by considering gravity solutions with B fields. We argue that the total number of physical degrees of freedom at any given scale coincides with the commutative case. We then compute a two-point correlation function involving momentum components in the directions of the B-field. In the infrared regime it reproduces the usual behavior of the commutative gauge theory (i.e. of the form k 4 log k 2 ). In the UV regime, we find that the two-point function decays exponentially with the momentum. A calculation of Wilson lines suggests that strings cannot be localized near the boundary. We also find string configurations that are localized in a finite region of the radial direction. These are worldsheet instantons.
Registro:
Documento: |
Artículo
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Título: | Large-N limit of non-commutative gauge theories |
Autor: | Maldacena, J.M.; Russo, J.G. |
Filiación: | Department of Physics, Harvard University, Cambridge, MA 02138, United States Departamento de Física, Universidad de Buenos Aires Ciudad Universitaria, 1428 Buenos Aires, Argentina
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Palabras clave: | Black holes in string theory; Brane dynamics in gauge theories; Duality in gauge field theories |
Año: | 1999
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Volumen: | 3
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Número: | 9
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Página de inicio: | XXXV
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Página de fin: | 18
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Título revista: | Journal of High Energy Physics
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Título revista abreviado: | J. High Energy Phys.
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ISSN: | 10298479
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v3_n9_pXXXV_Maldacena |
Referencias:
- Connes, A., Douglas, M.R., Schwarz, A., (1998) Noncommutative Geometry and Matrix Theory: Compactification on Tori, J. High Energy Phys., 2, p. 003. , hep-th/9711162
- Douglas, M.R., Hull, C., (1998) D-branes and the Noncommutative Torus, J. High Energy Phys., 2, p. 008. , hep-th/9711165
- Ardalan, F., Arfaei, H., Sheikh-Jabbari, M.M., (1999) Noncommutative Geometry from Strings and Branes, J. High Energy Phys., 2, p. 016. , hep-th/9810072
- Sheikh-Jabbari, M., (1999) Super Yang-Mills Theory on Noncommutative Torus from Open Strings Interactions, Phys. Lett. B, 450, p. 119. , hep-th/9810179
- Seiberg, N., Witten, E., (1999) String Theory and Noncommutative Geometry, J. High Energy Phys., 9, p. 032. , hep-th/9908142
- Maldacena, J., (1998) The Large-N Limit of Superconformal Field Theories and Supergravity, Adv. Theor. Math. Phys., 2, p. 231. , hep-th/9711200
- Itzhaki, N., Maldacena, J., Sonnenschein, J., Yankielowicz, S., (1998) Supergravity and the Large-N Limit of Theories with Sixteen Supercharges, Phys. Rev. D, 58, p. 046004. , hep-th/9802042
- Russo, J.G., Tseytlin, A.A., (1997) Waves, Boosted Branes and BPS States in M-theory, Nucl. Phys. B, 490, p. 121. , hep-th/9611047
- Breckenridge, J., Michaud, G., Myers, R.C., (1997) More D-brane Bound States, Phys. Rev. D, 55, p. 6438. , hep-th/9611174
- Filk, T., (1996) Divergences in a Field Theory on Quantum Space, Phys. Lett. B, 376, p. 53
- Krajewski, T., Wulkenhaar, R., Perturbative Quantum Gauge Fields on the Noncommutative Torus, , hep-th/9903187
- Bigatti, D., Susskind, L., Magnetic Fields, Branes and Noncommutative Geometry, , hep-th/9908056
- Aharony, O., Berkooz, M., Seiberg, N., (1998) Light Cone Description of (2,0) Superconformal Theories in Six-dimensions, Adv. Theor. Math. Phys., 2, p. 119. , hep-th/9712117
- Hashimoto, A., Itzhaki, N., Noncommutative Yang-Mills and the AdS/CFT Correspondence, , hep-th/9907166
- Bershoeff, E., Hull, C., Ortin, T., (1995) Nucl. Phys. B, 451, p. 547. , hep-th/9504081
- Lu, J.X., Roy, S., ((F,D1),D3) Bound State and Its T-dual Daughters, , hep-th/9905014
- Horowitz, G., Strominger, A., (1991) Black Strings and P-branes, Nucl. Phys. B, 360, p. 197
- Gubser, S., Klebanov, I., Polyakov, A., (1998) Gauge Theory Correlators from Non-critical String Theory, Phys. Lett. B, 428, p. 105. , hep-th/9802109
- Witten, E., (1998) Anti-de Sitter Space and Holography, Adv. Theor. Math. Phys., 2, p. 253. , hep-th/9802150
- Gubser, S., Hashimoto, A., (1999) Exact Absorption Probabilities for the D3-brane, Comm. Math. Phys., 203, p. 325. , hep-th/9805140
- Aharony, O., Berkooz, M., Kutasov, D., Seiberg, N., (1998) Linear Dilatons, NS5-branes and Holography, J. High Energy Phys., 10, p. 004. , hep-th/9808149
- Minwalla, S., Seiberg, N., (1999) Comments on the IIA NS5-brane, J. High Energy Phys., 6, p. 007. , hep-th/9904142
- Landau, L.D., Lifshitz, E.M., (1977) Quantum Mechanics -Non-relativistic Theory, 3 rd Ed., , Pergamon Press, Oxford
- Banks, T., Fischler, W., Shenker, S., Susskind, L., (1997) M Theory as a Matrix Model: a Conjecture, Phys. Rev. D, 55, p. 5112. , hep-th/9610043
Citas:
---------- APA ----------
Maldacena, J.M. & Russo, J.G.
(1999)
. Large-N limit of non-commutative gauge theories. Journal of High Energy Physics, 3(9), XXXV-18.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v3_n9_pXXXV_Maldacena [ ]
---------- CHICAGO ----------
Maldacena, J.M., Russo, J.G.
"Large-N limit of non-commutative gauge theories"
. Journal of High Energy Physics 3, no. 9
(1999) : XXXV-18.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v3_n9_pXXXV_Maldacena [ ]
---------- MLA ----------
Maldacena, J.M., Russo, J.G.
"Large-N limit of non-commutative gauge theories"
. Journal of High Energy Physics, vol. 3, no. 9, 1999, pp. XXXV-18.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v3_n9_pXXXV_Maldacena [ ]
---------- VANCOUVER ----------
Maldacena, J.M., Russo, J.G. Large-N limit of non-commutative gauge theories. J. High Energy Phys. 1999;3(9):XXXV-18.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v3_n9_pXXXV_Maldacena [ ]