Path integral for multi-field inflation

Jinn Ouk Gong, Min Seok Seo, Gary Shiu

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15 Scopus citations


Abstract: We develop the path integral formalism for studying cosmological perturbations in multi-field inflation, which is particularly well suited to study quantum theories with gauge symmetries such as diffeomorphism invariance. We formulate the gauge fixing conditions based on the Poisson brackets of the constraints, from which we derive two convenient gauges that are appropriate for multi-field inflation. We then adopt the in-in formalism to derive the most general expression for the power spectrum of the curvature perturbation including the corrections from the interactions of the curvature mode with other light degrees of freedom. We also discuss the contributions of the interactions to the bispectrum.

Original languageEnglish
Article number99
JournalJournal of High Energy Physics
Issue number7
StatePublished - 20 Jul 2016

Bibliographical note

Publisher Copyright:
© 2016, The Author(s).


  • Cosmology of Theories beyond the SM
  • Space-Time Symmetries
  • Spontaneous Symmetry Breaking


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