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Lattice simulations of Abelian gauge fields coupled to axions during Inflation
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We use a lattice simulation to study a model of axion inflation where the inflaton is coupled to a U(1) gauge field through Chern-Simons interaction. These kinds of models have already been studied with a lattice simulation in the context of reheating. In this work, we focus on the deep inflationary phase and discuss the new aspects that need to be considered in order to simulate gauge fields in this regime. Our main result is reproducing with precision the growth of the gauge field on the lattice induced by the rolling of the axion on its potential, thus recovering the results of linear perturbation theory for this model. In order to do so, we study in detail how the spatial discretization, through the choice of the spatial derivatives on the lattice, influences the dynamics of the gauge field. We find that the evolution of the gauge field is highly sensitive to the choice of the spatial discretization scheme. Nevertheless, we are able to identify a discretization scheme for which the growth of the gauge field on the lattice reproduces the one of continuous space with good precision.
Forward citations
Cited by 5 Pith papers
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Axion Inflation: Perturbative control in the strong backreaction regime
Axion inflation with strong gauge-field backreaction is generically non-perturbative for ξ ≳ 2.5, yet a newly found steady 'mild backreaction' phase at large β can stay perturbatively controlled.
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Axion Inflation with a Massive Abelian Gauge Field
A massive Abelian gauge field axially coupled to the inflaton yields tachyonic production only for |ξ|>m/H, with sourced CMB curvature power suppressed as ~1/m̄²–1/m̄³ at fixed backreaction, allowing strong friction f...
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High-frequency gravitational waves from axion inflation in the weak-backreaction regime
Even in the weak-backreaction regime, axion inflation produces high-frequency primordial gravitational waves many orders of magnitude above the vacuum spectrum, peaking around MHz–GHz.
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Comparative study of the strong backreaction regime in axion inflation: the effect of the potential
In lattice simulations of axion inflation, the strong-backreaction stage that lengthens inflation occurs for all seven tested potentials, but its duration varies strongly with the potential.
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CMB constraints on $U(1)$ axion warm inflation
Axion-driven warm inflation with U(1) gauge fields is constrained with CMB data and remains viable for sub-Planckian decay constants, but requires large Chern-Simons couplings.
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