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Symmetries and loops in inflation

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Abstract

In this paper, we prove that the superhorizon conservation of the curvature perturbation ζ in single-field inflation holds as an operator statement. This implies that all ζ-correlators are time independent at all orders in the loop expansion. Our result follows directly from locality and diffeomorphism invariance of the underlying theory. We also explore the relationship between the conservation of ζ, the single-field consistency relation and the renormalization of composite operators.

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Authors and Affiliations

  1. D.A.M.T.P., Cambridge University, Wilberforce Road, Cambridge, CB3 0WA, U.K.

    Valentin Assassi & Daniel Baumann

  2. Stanford Institute for Theoretical Physics, Stanford University, 382 Via Pueblo Mall, Stanford, CA, 94305-4060, U.S.A.

    Daniel Green

  3. Kavli Institute for Particle Astrophysics and Cosmology, 452 Lomita Mall, Stanford, CA, 94305-4085, U.S.A.

    Daniel Green

Authors
  1. Valentin Assassi
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  2. Daniel Baumann
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Correspondence to Daniel Green.

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ArXiv ePrint: 1210.7792

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Assassi, V., Baumann, D. & Green, D. Symmetries and loops in inflation. J. High Energ. Phys. 2013, 151 (2013). https://doi.org/10.1007/JHEP02(2013)151

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