Testing the Origin of Cosmological Magnetic Fields through the Large-Scale Structure Consistency Relations

Abstract

We study the symmetries of the post-recombination cosmological magnetohydrodynamical equations which describe the evolution of dark matter, baryons and magnetic fields in a self-consistent way. This is done both at the level of fluid equations and of Vlasov-Poisson-Maxwell equations in phase space. We discuss some consistency relations for the soft limit of the (n + 1)-correlator functions involving magnetic fields and matter overdensities. In particular, we stress that any violation of such consistency relations at equal-time would point towards an inflationary origin of the magnetic field.

23 pages

References in corpus (6)

• Conformal Symmetries of Adiabatic Modes in Cosmology
• Universal upper limit on inflation energy scale from cosmic magnetic field
• Consequences of Symmetries and Consistency Relations in the Large-Scale Structure of the Universe for Non-local bias and Modified Gravity
• On the non-Gaussian correlation of the primordial curvature perturbation with vector fields
• Angular averaged consistency relations of large-scale structures
• Kinematic consistency relations of large-scale structures

Cited by in corpus (7)

• Inflationary Magnetogenesis without the Strong Coupling Problem II: Constraints from CMB anisotropies and B-modes
• Probing correlations of early magnetic fields using mu-distortion
• Generation of large-scale magnetic fields, non-Gaussianity, and primordial gravitational waves in inflationary cosmology
• Dark Matter Minihalos from Primordial Magnetic Fields
• Lagrangian space consistency relation for large scale structure
• Inflation and Conformal Invariance: The Perspective from Radial Quantization
• On the primordial correlation of gravitons with gauge fields