On the non-Gaussian correlation of the primordial curvature perturbation with vector fields

Rajeev Kumar Jain, Martin Snoager Sloth

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

We compute the three-point cross-correlation function of the primordial curvature perturbation generated during inflation with two powers of a vector field in a model where conformal invariance is broken by a direct coupling of the vector field with the inflaton. If the vector field is identified with the electromagnetic field, this correlation would be a non-Gaussian signature of primordial magnetic fields generated during inflation. We find that the signal is maximized for the flattened configuration where the wave number of the curvature perturbation is twice that of the vector field and in this limit, the magnetic non-linear parameter becomes as large as |b_{NL}| ~ 10^3. In the squeezed limit where the wave number of the curvature perturbation vanishes, our results agree with the magnetic consistency relation derived in arXiv:1207.4187.
Original languageEnglish
Article numberJCAP02(2013)003
JournalJournal of Cosmology and Astroparticle Physics
Volume2013
Number of pages19
ISSN1475-7516
DOIs
Publication statusPublished - 2013

Keywords

  • astro-ph.CO
  • hep-ph
  • hep-th

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