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Figueroa, D. G., Lizarraga, J., Loayza, N., Urio, A., & Urrestilla, J. (2025). Nonlinear dynamics of axion inflation: A detailed lattice study. Phys. Rev. D, 111(6), 063545–40pp.
Abstract: We study in detail the fully inhomogeneous nonlinear dynamics of axion inflation, identifying three regimes: weak, mild, and strong backreaction, depending on the duration of inflation. We use lattice techniques that explicitly preserve gauge invariance and shift symmetry, and which we validate against other computational methods of the linear dynamics and of the homogeneous backreaction regime. Notably, we demonstrate that the latter fails to accurately describe the truly local dynamics of strong backreaction. We investigate the convergence of simulations of local backreaction, determining the requirements to achieve an accurate description of the dynamics, and providing useful parametrizations of the delay of the end of inflation. Additionally, we identify key features emerging from a proper local treatment of strong backreaction: the dominance of magnetic energy against the electric counterpart, the excitation of the longitudinal mode, and the generation of a scale-dependent chiral (im)balance. Our results underscore the necessity to accurately capture the local nature of the nonlinear dynamics of the system, in order to correctly assess phenomenological predictions, such as, e.g., the production of gravitational waves and primordial black holes.
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Figueroa, D. G., Lizarraga, J., Urio, A., & Urrestilla, J. (2023). Strong Backreaction Regime in Axion Inflation. Phys. Rev. Lett., 131(15), 151003–7pp.
Abstract: We study the nonlinear 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 nontachyonic 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.
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