Consistency relation for cosmic magnetic fields

R. K. Jain, M. S. Sloth

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

If cosmic magnetic fields are indeed produced during inflation, they are likely to be correlated with the scalar metric perturbations that are responsible for the cosmic microwave background anisotropies and large scale structure. Within an archetypical model of inflationary magnetogenesis, we show that there exists a new simple consistency relation for the non-Gaussian cross correlation function of the scalar metric perturbation with two powers of the magnetic field in the squeezed limit where the momentum of the metric perturbation vanishes. We emphasize that such a consistency relation turns out to be extremely useful to test some recent calculations in the literature. Apart from primordial non-Gaussianity induced by the curvature perturbations, such a cross correlation might provide a new observational probe of inflation and can in principle reveal the primordial nature of cosmic magnetic fields. DOI: 10.1103/PhysRevD.86.123528
Original languageEnglish
JournalPhysical Review D
Volume86
Issue number12
ISSN2470-0010
DOIs
Publication statusPublished - 2012

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