×

zbMATH — the first resource for mathematics

The \(\mathrm{AdS}_{5}\) black hole space-time with the perturbed dilaton field background. (English) Zbl 1255.83067
Summary: The \(\mathrm{AdS}_{5}\) black hole space-time with perturbed dilaton field background considered. We use the holographic AdS/QCD soft-wall model to investigate the wave functions and the effective potential. In this model, glueballs are described by a massless scalar field in an \(\mathrm{AdS}_{5}\) black hole with a dilaton soft-wall background. For the first time we use modified dilaton field and discuss the consequence of the perturbation. In order to obtain the effective potential we rewrite the equation of motion in the Schrödinger like equation, then try to find corresponding solution.

MSC:
83C57 Black holes
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
83C25 Approximation procedures, weak fields in general relativity and gravitational theory
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
81S10 Geometry and quantization, symplectic methods
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Maldacena, J.M.: The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2, 231 (1998) · Zbl 0914.53047
[2] Witten, E.: Anti-de Sitter space and holography. Adv. Theor. Math. Phys. 2, 253 (1998) · Zbl 0914.53048
[3] Schwart, J.H.: Introduction to M Theory and AdS/CFT Duality. Lecture Notes in Physics, vol. 525 (1999). hep-th/9812037
[4] Petersen, J.L.: Introduction to the Maldacena conjecture on AdS/CFT. Int. J. Mod. Phys. A 14, 3597 (1999) · Zbl 1031.81627
[5] Nastase, H.: Introduction to AdS-CFT. arXiv:0712.0689v2 [hep-th]
[6] Klebanov, I.R.: TASI lectures: Introduction to the AdS/CFT correspondence. arXiv:hep-th/0009139 · Zbl 1131.81315
[7] Skenderis, K., van Rees, B.C.: Phys. Rev. Lett. 101, 081601 (2008). arXiv:0805.0150 [hep-th] · Zbl 1228.81244
[8] Skenderis, K., van Rees, B.C.: J. High Energy Phys. 0905, 085 (2009). arXiv:0812.2909 [hep-th]
[9] Berti, E., Cardoso, V., Starinets, A.O.: Class. Quantum Gravity 26, 163001 (2009). arXiv:0905.2975 [gr-qc] · Zbl 1173.83001
[10] Boschi-Filho, H., Braga, N.R.F.: Eur. Phys. J. C 32, 529 (2004). arXiv:hep-th/0209080 · Zbl 02034728
[11] Boschi-Filho, H., Braga, N.R.F.: J. High Energy Phys. 0305, 009 (2003). arXiv:hep-th/0212207 · Zbl 1094.81561
[12] Karch, A., Katz, E., Son, D.T., Stephanov, M.A.: Phys. Rev. D 74, 015005 (2006). arXiv:hep-ph/0602229
[13] Colangelo, P., De Fazio, F., Jugeau, F., Nicotri, S.: Phys. Lett. B 652, 73 (2007). arXiv:hep-ph/0703316
[14] Colangelo, P., De Fazio, F., Giannuzzi, F., Jugeau, F., Nicotri, S.: Phys. Rev. D 78, 055009 (2008). arXiv:0807.1054 [hep-ph]
[15] Berti, E., Cardoso, V., Starinets, A.O.: Class. Quantum Gravity 26, 163001 (2009). arXiv:0905.2975 [gr-qc] · Zbl 1173.83001
[16] Horowitz, G.T., Hubeny, V.E.: Phys. Rev. D 62, 024027 (2000). arXiv:hep-th/9909056
[17] Berti, E., Cardoso, V., Pani, P.: Phys. Rev. D 79, 101501 (2009). arXiv:0903.5311 [gr-qc]
[18] Kokkotas, K.D., Schmidt, B.G.: Living Rev. Relativ. 2, 2 (1999). arXiv:gr-qc/9909058
[19] Nollert, H.P.: Class. Quantum Gravity 16, R159 (1999) · Zbl 0948.83032
[20] Wang, B., Molina, C., Abdalla, E.: Phys. Rev. D 63, 084001 (2001). arXiv:hep-th/0005143
[21] Cardoso, V., Lemos, J.P.S.: Phys. Rev. D 63, 124015 (2001). arXiv:gr-qc/0101052
[22] Cardoso, V., Lemos, J.P.S.: Phys. Rev. D 64, 084017 (2001). arXiv:gr-qc/0105103
[23] Starinets, A.O.: Phys. Rev. D 66, 124013 (2002). arXiv:hep-th/0207133
[24] Nunez, A., Starinets, A.O.: Phys. Rev. D 67, 124013 (2003). arXiv:hep-th/0302026
[25] Kovtun, P.K., Starinets, A.O.: Phys. Rev. D 72, 086009 (2005). arXiv:hep-th/0506184
[26] Maeda, K., Natsuume, M., Okamura, T.: Phys. Rev. D 72, 086012 (2005). arXiv:hep-th/0509079
[27] Siopsis, G.: Nucl. Phys. B 715, 483 (2005). arXiv:hep-th/0407157 · Zbl 1207.81137
[28] Miranda, A.S., Zanchin, V.T.: Phys. Rev. D 73, 064034 (2006). arXiv:gr-qc/0510066
[29] Zhang, Y., Jing, J.L.: Int. J. Mod. Phys. D 15, 905 (2006) · Zbl 1119.83020
[30] Hoyos-Badajoz, C., Landsteiner, K., Montero, S.: J. High Energy Phys. 0704, 031 (2007). arXiv:hep-th/0612169
[31] Miranda, A.S., Zanchin, V.T.: Int. J. Mod. Phys. D 16, 421 (2007) · Zbl 1117.83069
[32] Amado, I., Hoyos-Badajoz, C.: J. High Energy Phys. 0809, 118 (2008). arXiv:0807.2337 [hep-th]
[33] Miranda, A.S., Ballon Bayona, C.A., Boschi-Filho, H., Braga, N.R.F.: Black-hole quasinormal modes and scalar glueballs in a finite-temperature AdS/QCD model. arXiv:0909.1790 [hep-th]
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.