Effective treatment of U(1) gauge field and charged particles in axion inflation

Abstract

The axionic inflaton with the Chern-Simons coupling may generate U(1) gauge fields and charged particles simultaneously. In order to incorporate the backreaction from the charged particles on the gauge fields, we develop a procedure to obtain an equilibrium solution for the gauge fields by treating the induced current as effective electric and magnetic conductivities. Introducing mean field approximation, and numerically solving self-consistency equations, we find that the gauge field amplitudes are drastically suppressed. Interestingly, as the production becomes more efficient, the charged particles gain a larger part of the transferred energy from the inflaton and eventually dominate it. Our formalism offers a basis to connect this class of inflationary models to a rich phenomenology such as baryogenesis and magnetogenesis.

29 pages, 7 figures; v2: comparison to the previous works is added

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Cited by in corpus (18)

• Chiral effects in astrophysics and cosmology
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Wash-in leptogenesis after axion inflation
• Numerical study of the Schwinger effect in axion inflation
• On the Schwinger effect during axion inflation
• Lattice simulations of axion-U(1) inflation: gravitational waves, magnetic fields, and scalar statistics
• Inflation with Stochastic Boundary
• Stochastic formalism for U(1) gauge fields in axion inflation
• Baryogenesis from Higgs Inflation
• Dark Energy with a Triplet of Classical U(1) Fields
• Gravitational waves from axion inflation in the gradient expansion formalism. Part I. Pure axion inflation
• Transient phenomena in the axion assisted Schwinger effect
• Understanding anomalous particle production in massless QED via time-varying $\theta$ angle
• Fate of the first-order chiral phase transition in QCD: Implications for dark QCD studied via a Nambu-Jona-Lasinio model
• Gravitational waves from axion inflation in the gradient expansion formalism. Part II. Fermionic axion inflation
• First-order CP phase transition in two-flavor QCD at $\theta =\pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description
• Stringy constraints on primordial electromagnetic fields in axion inflation
• On the inefficiency of fermion level-crossing under the parity-violating spin-2 gravitational field