Abstract

We propose a mechanism generating primordial magnetic fields after the e^{+}e^{-} annihilations. Our mechanism involves an ultralight axionlike particle (ALP) which constitutes the dark matter and a dark U(1)_{X} gauge boson introduced to bypass the obstacle placed by the conductivity of cosmic plasma. In our scheme, a coherently oscillating ALP amplifies the dark photon field, and part of the amplified dark photon field is concurrently converted to the ordinary magnetic field through the ALP-induced magnetic mixing. For the relevant ALP mass range 10^{-21} eV≲m_{ϕ}≲10^{-17} eV, our mechanism can generate B∼10^{-24} G(m_{ϕ}/10^{-17} eV)^{5/4} with a coherent length λ∼(m_{ϕ}/10^{-17} eV)^{-1/2} kpc, which is large enough to provide a seed of the galactic magnetic fields. The mechanism also predicts a dark U(1)_{X} electromagnetic field E_{X}∼B_{X}∼80 nG(m_{ϕ}/10^{-17} eV)^{-1/4}, which can result in interesting astrophysical or cosmological phenomena by inducing the mixings between the ALP, ordinary photon, and dark photon states.

Highlights

  • The origin of the primordial magnetic fields is one of the long-standing problems in modern cosmology

  • Our mechanism involves an ultralight axionlike particle (ALP) which constitutes the dark matter and a dark Uð1ÞX gauge boson introduced to bypass the obstacle placed by the conductivity of cosmic plasma

  • Inflationary magnetogenesis often suffers from the backreaction by the produced magnetic fields, which spoils the dynamics of inflaton or generates too large non-Gaussianity in primordial perturbations [15,16,17] [these problems can be circumvented if magnetogenesis takes place after the cosmic microwave background (CMB) scales exit the horizon [18,19]]

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Summary

Introduction

The origin of the primordial magnetic fields is one of the long-standing problems in modern cosmology. For the relevant ALP mass range 10−21 eV ≲ mφ ≲ 10−17 eV, our mechanism can generate B ∼ 10−24 Gðmφ=10−17 eVÞ5=4 with a coherent length λ ∼ ðmφ=10−17 eVÞ−1=2 kpc, which is large enough to provide a seed of the galactic magnetic fields. The mechanism predicts a dark Uð1ÞX electromagnetic field EX ∼ BX ∼ 80 nGðmφ=10−17 eVÞ−1=4, which can result in interesting astrophysical or cosmological phenomena by inducing the mixings between the ALP, ordinary photon, and dark photon states.

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