On the primordial correlation of gravitons with gauge fields
arXiv:2108.10887 · doi:10.1088/1475-7516/2022/03/054
Abstract
We calculate the primordial correlation of gravitons with an abelian gauge field non-minimally coupled through a dynamical dilaton field or a volume moduli during inflation in the early universe. In particular, we compute the cross-correlation of a tensor mode with two gauge field modes and the corresponding correlation functions for the associated magnetic and electric fields using the in-in formalism. Moreover, using semi-classical methods, we show that the three-point cross-correlation functions satisfy new consistency relations (soft theorems) in the squeezed limit. Our findings exhibit a complete agreement of the full in-in results with the new consistency relations. An interesting consequence of our scenario is the possibility of a novel correlation of the primordial tensor mode with the primordial curvature perturbation induced by higher order quantum gravity corrections. The anisotropic background created by long wavelength gauge field modes makes this correlation function non-vanishing. Finally, we discuss how these three-point correlation functions are imprinted on cosmological observables today and the applications to scenarios of inflationary magnetogenesis.
arXiv commentv1: 33 pages, 2 figures; v2: 34 pages, 2 figures, discussion in section 5 extended, references added, version accepted in JCAP
References in corpus (53)
- Non-Gaussian features of primordial fluctuations in single field inflationary models
- Evidence for strong extragalactic magnetic fields from Fermi observations of TeV blazars
- Origin of Galactic and Extragalactic Magnetic Fields
- Single field consistency relation for the 3-point function
- On graviton non-Gaussianities during inflation
- The intergalactic magnetic field constrained by Fermi/LAT observations of the TeV blazar 1ES 0229+200
- Generation of Large-Scale Magnetic Fields in Single-Field Inflation
- Magnetic fields from inflation?
- On the consistency relation of the 3-point function in single field inflation
- The anisotropic power spectrum and bispectrum in the f(phi) F^2 mechanism
- Semiclassical relations and IR effects in de Sitter and slow-roll space-times
- Statistical Anisotropy from Anisotropic Inflation
- Conformal Symmetries of Adiabatic Modes in Cosmology
- Observable non-gaussianity from gauge field production in slow roll inflation, and a challenging connection with magnetogenesis
- An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology
- Primordial statistical anisotropy generated at the end of inflation
- Magnetic fields in the early universe
- Cosmological observables, IR growth of fluctuations, and scale-dependent anisotropies
- Can slow roll inflation induce relevant helical magnetic fields?
- Inflationary Magnetogenesis without the Strong Coupling Problem
- Signatures of anisotropic sources in the squeezed-limit bispectrum of the cosmic microwave background
- Evidence for GeV Pair Halos around Low Redshift Blazars
- Inflationary Magnetogenesis without the Strong Coupling Problem II: Constraints from CMB anisotropies and B-modes
- Universal Constraints on Axions from Inflation
- Higher order statistics of curvature perturbations in IFF model and its Planck constraints
- Correlation of inflation-produced magnetic fields with scalar fluctuations
- Cosmological diagrammatic rules
- δN Formalism in Anisotropic Inflation and Large Anisotropic Bispectrum and Trispectrum
- Consistency relation for cosmic magnetic fields
- On the non-Gaussian correlation of the primordial curvature perturbation with vector fields
- Early Cosmological Evolution of Primordial Electromagnetic Fields
- Resonant magnetic fields from inflation
- Inflationary trispectrum from graviton exchange
- Inflationary soft theorems revisited: A generalized consistency relation
- Non-Gaussian features of primordial magnetic fields in power-law inflation
- The statistically anisotropic curvature perturbation generated by f(ϕ)^2 F^2
- Gravitational Memory, BMS Supertranslations and Soft Theorems
- Constraints on Gauge Field Production during Inflation
- The TT, TB, EB and BB correlations in anisotropic inflation
- Asymptotic Symmetries in de Sitter and Inflationary Spacetimes
- Electric-magnetic duality and the conditions of inflationary magnetogenesis
- Generation of helical magnetic fields from inflation
- CMB power spectra induced by primordial cross-bispectra between metric perturbations and vector fields
- Cross-correlations between scalar perturbations and magnetic fields in bouncing universes
- Primordial perturbations from dilaton-induced gauge fields
- Symmetries of Vector Perturbations during the de Sitter Epoch
- Enhancing the cross-correlations between magnetic fields and scalar perturbations through parity violation
- Patient Observers and Non-perturbative Infrared Dynamics in Inflation
- Inflation and Conformal Invariance: The Perspective from Radial Quantization
- Testing the Origin of Cosmological Magnetic Fields through the Large-Scale Structure Consistency Relations
- Correlation functions of sourced gravitational waves in inflationary scalar vector models. A symmetry based approach
- Inflation in Flatland
- Is Patience a Virtue? Cosmic Censorship of Infrared Effects in de Sitter