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

Journal Article · Fri Feb 01 04:00:00 EST 2013 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2013/02/003· OSTI ID:22283003

Jain, Rajeev Kumar ^[1]

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1. Département de Physique Théorique and Center for Astroparticle Physics, Université de Genève, 24, Quai E. Ansermet, CH-1211 Genève 4 (Switzerland)

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{sub NL}| ∼ O(10{sup 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.

• OSTI ID: 22283003
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 02 Vol. 2013; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
CONFORMAL INVARIANCE
CORRELATION FUNCTIONS
CORRELATIONS
COUPLING
DISTURBANCES
ELECTROMAGNETIC FIELDS
INFLATIONARY UNIVERSE
INFLATONS
MAGNETIC FIELDS
NONLINEAR PROBLEMS
PERTURBATION THEORY
VECTOR FIELDS