Constraints on Gauge Field Production during Inflation

Abstract

In order to gain new insights into the gauge field couplings in the early universe, we consider the constraints on gauge field production during inflation imposed by requiring that their effect on the CMB anisotropies are subdominant. In particular, we calculate systematically the bispectrum of the primordial curvature perturbation induced by the presence of vector gauge fields during inflation. Using a model independent parametrization in terms of magnetic non-linearity parameters, we calculate for the first time the contribution to the bispectrum from the cross correlation between the inflaton and the magnetic field defined by the gauge field. We then demonstrate that in a very general class of models, the bispectrum induced by the cross correlation between the inflaton and the magnetic field can be dominating compared with the non-Gaussianity induced by magnetic fields when the cross correlation between the magnetic field and the inflaton is ignored.

34 pages, 4 figures. V2: notation improved

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• Primordial Statistical Anisotropies: The Effective Field Theory Approach
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• The charged inflaton and its gauge fields: preheating and initial conditions for reheating
• Clustering Fossil from Primordial Gravitational Waves in Anisotropic Inflation
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• Stochastic Effects in Anisotropic Inflation
• Primordial perturbations from dilaton-induced gauge fields
• Statistics of Anisotropies in Inflation with Spectator Vector Fields
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• Probing the reheating phase through primordial magnetic field and CMB
• Charged Vector Inflation
• Effective field theory of statistical anisotropies for primordial bispectrum and gravitational waves
• Inflationary dynamics of kinetically-coupled gauge fields
• Narrowing the window of inflationary magnetogenesis
• de Sitter symmetries and inflationary correlators in parity violating scalar-vector models
• On the primordial correlation of gravitons with gauge fields
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• CMB statistical anisotropies of classical and quantum origins
• All-sky reconstruction of the primordial scalar potential from WMAP temperature data
• de Sitter symmetries and inflationary scalar-vector models
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• Primordial magnetic non-Gaussianity with generic vacua and detection prospects in CMB spectral distortions