The Suyama-Yamaguchi consistency relation in the presence of vector fields

Abstract

We consider inflationary models in which vector fields are responsible for part or eventually all of the primordial curvature perturbation ζ. Such models are phenomenologically interesting since they naturally introduce anisotropies in the probability distribution function of the primordial fluctuations that can leave a measurable imprint in the cosmic microwave background. Assuming that non-Gaussianity is generated due to the superhorizon evolution, we use the δN formalism to do a complete tree level calculation of the non-Gaussianity parameters f_{NL} and τ_{NL} in the presence of vector fields. We isolate the isotropic pieces of the non-Gaussianity parameters, which anyway have contributions from the vector fields, and show that they obey the Suyama-Yamaguchi consistency relation τ^{iso}_{NL}>=(6/5f^{iso}_{NL})^2. Other ways of defining the non-Gaussianity parameters, which could be observationally relevant, are stated and the respective Suyama-Yamaguchi-like consistency relations are obtained.

LaTeX file, 11 pages. v2: a few minor changes, references added and updated. v3: version to be published in Modern Physics Letters A

References in corpus (9)

• On Soft Limits of Inflationary Correlation Functions
• Non-Gaussianity in the modulated reheating scenario
• The Nature of Primordial Fluctuations from Anisotropic Inflation
• Scalar-Scalar, Scalar-Tensor, and Tensor-Tensor Correlators from Anisotropic Inflation
• Can a vector field be responsible for the curvature perturbation in the Universe?
• Operator Product Expansion of Inflationary Correlators and Conformal Symmetry of de Sitter
• Anisotropic non-Gaussianity from vector field perturbations
• A universal bound on N-point correlations from inflation
• Non-Gaussianity Consistency Relation for Multi-field Inflation

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• Anisotropic Inflation with the non-Vacuum Initial State
• Primordial Anisotropies in Gauged Hybrid Inflation
• Primordial Statistical Anisotropies: The Effective Field Theory Approach
• Stability analysis of inflation with an SU(2) gauge field
• The TT, TB, EB and BB correlations in anisotropic inflation
• The charged inflaton and its gauge fields: preheating and initial conditions for reheating
• Clustering Fossil from Primordial Gravitational Waves in Anisotropic Inflation
• The different varieties of the Suyama-Yamaguchi consistency relation and its violation as a signal of statistical inhomogeneity
• Consistency Relation for multifield inflation scenario with all loop contributions
• Scale and shape dependent non-Gaussianity in the presence of inflationary vector fields