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Inflation driven by the Galileon field.

Tsutomu Kobayashi1, Masahide Yamaguchi, Jun'ichi Yokoyama

  • 1Research Center for the Early Universe, Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan.

Physical Review Letters
|January 15, 2011
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Summary

We introduce G inflation, a new model generating scale-invariant fluctuations and potentially larger gravitational wave signals than standard models. This model allows for unique observational signatures in cosmic microwave background and gravitational wave experiments.

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Area of Science:

  • Cosmology
  • Theoretical Physics
  • Particle Physics

Background:

  • Standard inflationary models face challenges in explaining certain cosmological observations.
  • The generation of primordial fluctuations and gravitational waves is key to testing inflationary theories.

Purpose of the Study:

  • To propose a new class of inflation model, G inflation, with a Galileon-like nonlinear derivative interaction.
  • To investigate the generation of curvature fluctuations and gravitational waves within this new model.
  • To explore potential observational consequences and deviations from standard inflationary predictions.

Main Methods:

  • Introducing a Lagrangian with a Galileon-like nonlinear derivative interaction: G(ϕ,(∇ϕ)(2))□ϕ.
  • Deriving second-order equations of motion for the proposed G inflation model.
  • Analyzing the generation of (almost) scale-invariant curvature fluctuations in a de Sitter background.

Main Results:

  • G inflation generates (almost) scale-invariant curvature fluctuations even in an exactly de Sitter background.
  • The tensor-to-scalar ratio can exceed values predicted by standard inflation models, violating consistency relations.
  • Violation of the null energy condition is possible without introducing instabilities.
  • A blue spectral index for tensor modes is predicted, enhancing detectability of quantum gravitational waves.

Conclusions:

  • G inflation offers a viable alternative to standard inflationary models with distinct predictions.
  • The model's predictions align with enhanced detectability for quantum gravitational waves by future experiments like LISA, DECIGO, Planck, and CMBpol.
  • This framework opens new avenues for exploring early universe physics and testing fundamental theories.