Abstract
In this paper a quantum N = 4 super Yang-Mills theory perturbed by dilaton-coupled scalars and spinor fields, is considered. The induced effective action for such a theory is calculated on a dilaton-gravitational background using the conformal anomaly found via the AdS/CFT correspondence. Considering such an effective action (using the large N method) as a quantum correction to the classical gravity action with cosmological constant, we study the effect from the dilaton on the scale factor (this corresponds to an inflationary universe without dilaton). It is shown that, depending on the initial conditions for the dilaton, the dilaton may slow down, or accelerate, the inflation process. At late times, the dilaton is decaying exponentially. Different possible cases corresponding to a dilatonic dS Universe are analyzed with respect to the equations of motion.
This is a preview of subscription content, log in via an institution to check access.
References
Kolb, E. and Turner, M. (1994). The Very Early Universe, Addison-Wesley, New York.
Brevik, I. and Odintsov, S. D. (1999). Phys. Lett. B 455, 104(hep-th/9902184).
Nojiri, S. and Odintsov, S. D. (1998). Phys. Lett. B 426, 29(hep-th 9801052);Ichinose, S. and Odintsov, S. D. (1999). Nucl. Phys. B 539, 643(hep-th 9802043).
Gates, S. J., Kadoyoshi, T., Nojiri, S., and Odintsov, S. D. (1998). Phys. Rev. D 58, 084026(hep-th/9802139).
Nojiri, S. and Odintsov, S. D. (1998). Phys. Lett. B 444, 92(hep-th 9810008); Nojiri, S., and Odintsov, S. D. (2001). Phys. Lett. B 519, 145(hep-th/0106191).
Maldacena, J. M. (1998). Adv. Theor. Math. Phys. 2, 231(hep-th 9711200).
Nojiri, S. and Odintsov, S. D. (1998). Phys. Rev. D 57, 2363(hep-th /9706143); Nojiri, S. and Odintsov, S. D. (2001). Int. J. Mod. Phys. A 16, 1015(hep-th /0009202).
Riegert, R. (1984). Phys. Lett. B 134, 56; Fradkin, E. S. and Tseytlin, A. (1984). Phys. Lett. B 134, 187; Buchbinder, I. L., Odintsov, S. D., and Shapiro, I. L. (1985). Phys. Lett. B 162, 92; Antoniadis, I. and Mottola, E. (1992). Phys. Rev. D 45, 2013; Odintsov, S. D. (1992). Z. Phys. C 54, 531.
Buchbinder, I. L., Odintsov, S. D., and Shapiro, I. L. (1992). Effective Action in Quantum Gravity, IOP, Philadelphia, Pennsylvania.
van Nieuwenhuizen, P., Nojiri, S., and Odintsov, S. D. (1999). Phys. Rev. D 60, 084014(hep-th/9901119).
Quiroga, J. (2003). Mod. Phys. Lett. A 18, 1257(gr-qc/0305043).
Starobinsky, A. (1980). Phys. Lett. B 91, 99.
Brevik, I. and Odintsov, S. D. (2000). Phys. Lett. B 475, 247(hep-th/9912032).
Quiroga, J. and Shaido, Y. (2002). Grav. Cosmol. 8, 294(gr-qc/0206065).
Geyer, B., Odintsov, S. D., and Zerbini, S. (1999). Phys. Lett. B 460, 58(gr-qc/9905073).
Odintsov, S. D. (2003). Grav. Cosmol. 9, 79(hep-th/0210094).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Brevik, I., Quiroga, J. Letter: Inflationary Dilatonic de Sitter Universe from Super Yang-Mills Theory Perturbed by Scalars and Spinors. General Relativity and Gravitation 36, 1433–1440 (2004). https://doi.org/10.1023/B:GERG.0000022579.16135.9b
Issue Date:
DOI: https://doi.org/10.1023/B:GERG.0000022579.16135.9b