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Shapes of gravity: tensor non-Gaussianity and massive spin-2 fields
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  • Regular Article - Theoretical Physics
  • Open Access
  • Published: 16 October 2019

Shapes of gravity: tensor non-Gaussianity and massive spin-2 fields

  • Garrett Goon1,2,
  • Kurt Hinterbichler3,
  • Austin Joyce4 &
  • …
  • Mark Trodden5 

Journal of High Energy Physics volume 2019, Article number: 182 (2019) Cite this article

  • 258 Accesses

  • 44 Citations

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A preprint version of the article is available at arXiv.

Abstract

If the graviton is the only high spin particle present during inflation, then the form of the observable tensor three-point function is fixed by de Sitter symmetry at leading order in slow-roll, regardless of the theory, to be a linear combination of two possible shapes. This is because there are only a fixed number of possible on-shell cubic structures through which the graviton can self-interact. If additional massive spin-2 degrees of freedom are present, more cubic interaction structures are possible, including those containing interactions between the new fields and the graviton, and self-interactions of the new fields. We study, in a model-independent way, how these interactions can lead to new shapes for the tensor bispectrum. In general, these shapes cannot be computed analytically, but for the case where the only new field is a partially massless spin-2 field we give simple expressions. It is possible for the contribution from additional spin-2 fields to be larger than the intrinsic Einstein gravity bispectrum and provides a mechanism for enhancing the size of the graviton bispectrum relative to the graviton power spectrum.

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Authors and Affiliations

  1. Institute for Theoretical Physics and Center for Extreme Matter and Emergent Phenomena, Utrecht University, Leuvenlaan 4, 3584, CE, Utrecht, The Netherlands

    Garrett Goon

  2. Department of Applied Mathematics and Theoretical Physics, Cambridge University, Wilberforce Rd, Cambridge, CB3 OWA, U.K.

    Garrett Goon

  3. CERCA, Department of Physics, Case Western Reserve University, 10900 Euclid Ave, Cleveland, OH, 44106, U.S.A.

    Kurt Hinterbichler

  4. Center for Theoretical Physics, Department of Physics, Columbia University, West 120th Street, New York, NY, 10027, U.S.A.

    Austin Joyce

  5. Department of Physics and Astronomy, Center for Particle Cosmology, University of Pennsylvania, 209 S. 33rd St, Philadelphia, FA, 19104, U.S.A.

    Mark Trodden

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  1. Garrett Goon
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Correspondence to Austin Joyce.

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ArXiv ePrint: 1812.07571

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Goon, G., Hinterbichler, K., Joyce, A. et al. Shapes of gravity: tensor non-Gaussianity and massive spin-2 fields. J. High Energ. Phys. 2019, 182 (2019). https://doi.org/10.1007/JHEP10(2019)182

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  • Received: 13 March 2019

  • Revised: 29 August 2019

  • Accepted: 16 September 2019

  • Published: 16 October 2019

  • DOI: https://doi.org/10.1007/JHEP10(2019)182

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Keywords

  • Classical Theories of Gravity
  • Conformal Field Theory
  • Effective Field Theories
  • Scattering Amplitudes
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