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L. McAllister, E. Silverstein, and A. Westphal, Gravity Waves and Linear Inflation from Axion Monodromy, Phys. Rev. D 82
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M. M. Anber and L. Sorbo, Naturally inflating on steep potentials through electromagnetic dissipation, Phys. Rev. D 81
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N. Barnaby, E. Pajer, and M. Peloso, Gauge Field Production in Axion Inflation: Consequences for Monodromy, non-Gaussianity in the CMB, and Gravitational Waves at Interferometers, Phys. Rev. D 85
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J. L. Cook and L. Sorbo, Particle production during inflation and gravitational waves detectable by ground-based interferometers, Phys. Rev. D 85

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S.-L. Cheng, W. Lee, and K.-W. Ng, Numerical study of pseudoscalar inflation with an axion-gauge field coupling, Phys. Rev. D 93
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2023

The strong backreaction regime in axion inflation

Figueroa, Daniel G., Lizarraga, Joanes, Urio, Ander et al.

Understand

We study the non-linear dynamics of axion inflation, capturing for the first time the inhomogeneity and full dynamical range during strong backreaction, till the end of inflation.

Accounting for inhomogeneous effects leads to a number of new relevant results, compared to spatially homogeneous studies: i) the number of extra efoldings beyond slow roll inflation increases very rapidly with the coupling, ii) oscillations of the inflaton velocity are attenuated, iii) the tachyonic gauge field helicity spectrum is smoothed out (i.e.~the spectral oscillatory features disappear), broadened, and shifted to smaller scales, and iv) the non-tachyonic helicity is excited, reducing the chiral asymmetry, now scale dependent.
Our results are expected to impact strongly on the phenomenology and observability of axion inflation, including gravitational wave generation and primordial black hole production.