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

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.

18 pages. V3: some typos fixed, matches version published in JCAP

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Cited by in corpus (19)

• Universal Constraints on Axions from Inflation
• Early Cosmological Evolution of Primordial Electromagnetic Fields
• Small scale induced gravitational waves from primordial black holes, a stringent lower mass bound, and the imprints of an early matter to radiation transition
• A scenario for inflationary magnetogenesis without strong coupling problem
• The TT, TB, EB and BB correlations in anisotropic inflation
• Statistical Anisotropies in Gravitational Waves in Solid Inflation
• CMB power spectra induced by primordial cross-bispectra between metric perturbations and vector fields
• Probing correlations of early magnetic fields using mu-distortion
• Scalar perturbations from inflation in the presence of gauge fields
• Stochastic Effects in Anisotropic Inflation
• Probing the reheating phase through primordial magnetic field and CMB
• Inflationary dynamics of kinetically-coupled gauge fields
• de Sitter symmetries and inflationary correlators in parity violating scalar-vector models
• Inflationary magnetogenesis: solving the strong coupling and its non-Gaussian signatures
• On the primordial correlation of gravitons with gauge fields
• D-Flation
• Amplifying quantum discord during inflationary magnetogenesis through violation of parity
• Inflationary cross-correlations of a non-minimal spectator and their soft limits
• Primordial magnetic non-Gaussianity with generic vacua and detection prospects in CMB spectral distortions