Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 2, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1475-7516/2013/02/003
Keywords
primordial magnetic fields; inflation; non-gaussianity
Funding
- Swiss National Science Foundation
- Lundbeck Foundation
- Lundbeck Foundation [R82-2011-7286] Funding Source: researchfish
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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 vertical bar b(NL)vertical bar similar to O(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.
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