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Primordial non-Gaussianity from G inflation

Tsutomu Kobayashi1,†, Masahide Yamaguchi2,‡, and Jun’ichi Yokoyama3,4,§

  • 1Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan*
  • 2Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan
  • 3Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan
  • 4Institute for the Physics and Mathematics of the Universe (IPMU), The University of Tokyo, Kashiwa, Chiba, 277-8568, Japan

  • *Present address: Hakubi Center, Kyoto University, Kyoto 606-8302, Japan, and Department of Physics, Kyoto University, Kyoto 606-8502, Japan
  • †tsutomu@tap.scphys.kyoto-u.ac.jp
  • ‡gucci@phys.titech.ac.jp
  • §yokoyama@resceu.s.u-tokyo.ac.jp
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Phys. Rev. D 83, 103524 – Published 24 May, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.103524

Abstract

We present a comprehensive study of primordial fluctuations generated from G inflation, in which the inflaton Lagrangian is of the form K(ϕ,X)−G(ϕ,X)□ϕ with X=−(∂ϕ)2/2. The Lagrangian still gives rise to second-order gravitational and scalar field equations, and thus offers a more generic class of single-field inflation than ever studied, with a richer phenomenology. We compute the power spectrum and the bispectrum, and clarify how the non-Gaussian amplitude depends upon parameters such as the sound speed. In so doing we try to keep as great generality as possible, allowing for non slow-roll and deviation from the exact scale invariance.

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Phys. Rev. D 83, 103524– Published 24 May, 2011
  • Received 9 March 2011

© 2011 American Physical Society

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