Consistency relations in multi-field inflation

Jinn Ouk Gong, Min Seok Seo

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7 Scopus citations


We study the consequences of spatial coordinate transformation in multi-field inflation. Among the spontaneously broken de Sitter isometries, only dilatation in the comoving gauge preserves the form of the metric and thus results in quantum-protected Slavnov-Taylor identities. We derive the corresponding consistency relations between correlation functions of cosmological perturbations in two different ways, by the connected and one-particle-irreducible Green's functions. The lowest-order consistency relations are explicitly given, and we find that even in multi-field inflation the consistency relations in the soft limit are independent of the detail of the matter sector.

Original languageEnglish
Article number008
JournalJournal of Cosmology and Astroparticle Physics
Issue number2
StatePublished - 6 Feb 2018

Bibliographical note

Funding Information:
JG acknowledges the support from the Korea Ministry of Education, Science and Technology, Gyeongsangbuk-Do and Pohang City for Independent Junior Research Groups at the Asia Pacific Center for Theoretical Physics. JG is also supported in part by a TJ Park Science Fellowship of POSCO TJ Park Foundation and the Basic Science Research Program through the National Research Foundation of Korea Research Grant 2016R1D1A1B03930408. MS is supported by IBS under the project code IBS-R018-D1.

Publisher Copyright:
© 2018 IOP Publishing Ltd and Sissa Medialab.


  • cosmological perturbation theory
  • inflation
  • quantum field theory on curved space


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