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Phys. Rev. D 75, 023520 (2007) [13 pages]

Realizing scale-invariant density perturbations in low-energy effective string theory

Zong-Kuan Guo,1 Nobuyoshi Ohta,1 and Shinji Tsujikawa2
1Department of Physics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
2Department of Physics, Gunma National College of Technology, Gunma 371-8530, Japan

Received 31 October 2006; published 23 January 2007

We discuss the realization of inflation and resulting cosmological perturbations in the low-energy effective string theory. In order to obtain nearly scale-invariant spectra of density perturbations and a suppressed tensor-to-scalar ratio, it is generally necessary that the dilaton field phi is effectively decoupled from gravity together with the existence of a slowly varying dilaton potential. We also study the effect of second-order corrections to the tree-level action which are the sum of a Gauss-Bonnet term coupled to phi and a kinetic term ([del]phi)4. We find that it is possible to realize observationally supported spectra of scalar and tensor perturbations provided that the correction is dominated by the ([del]phi)4 term even in the absence of the dilaton potential. When the Gauss-Bonnet term is dominant, tensor perturbations exhibit violent negative instabilities on small scales about a de Sitter background in spite of the fact that scale-invariant scalar perturbations can be achieved.

©2007 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.75.023520
DOI: 10.1103/PhysRevD.75.023520
PACS: 98.80.Cq; 04.62.+v; 98.80.Jk
  • 98.80.Cq
    Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)
  • 04.62.+v
    Quantum field theory in curved spacetime
  • 98.80.Jk
    Mathematical and relativistic aspects of cosmology
  • YEAR: 2007
KEYWORDS: string theory, gravitation, cosmology, cosmic acceleration

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