Stochastic Effects in Axion Inflation and Primordial Black Holes Formation

Abstract

We revisit the model of axion inflation in the context of stochastic inflation and investigate the effects of the stochastic noises associated to the electromagnetic fields. Because of the parity violating interaction, one polarization of the gauge field is amplified inducing large curvature perturbation power spectrum. Taking into account the stochastic kicks arising from the short modes at the time of horizon crossing we obtain the corresponding Langevin equations for the long modes of the electromagnetic and axion fields. It is shown that a mean-reverting process governs the dynamics of the electromagnetic fields such that the tachyonic growth of the gauge fields is balanced by the diffusion forces. As the instability parameter grows towards the end of inflation, the large curvature perturbations induced from gauge field perturbations lead to copious production of small mass primordial black holes (PBHs). It is shown that the produced PBHs follow a Gaussian statistics. Imposing the observational constraints on PBHs formation relaxes the previous bounds on the instability parameter by about fifty percents.

33+10 pages, 4 appendices, 8 figures

References in corpus (13)

• A Natural Framework for Chaotic Inflation
• Large Nongaussianity in Axion Inflation
• N-flationary magnetic fields
• Primordial black hole formation in the radiative era: investigation of the critical nature of the collapse
• An Ignoble Approach to Large Field Inflation
• Gravitational waves at interferometer scales and primordial black holes in axion inflation
• Primordial Gravitational Waves from Axion-Gauge Fields Dynamics
• Higgsed Chromo-Natural Inflation
• Gauge-field production during axion inflation in the gradient expansion formalism
• Non-perturbative approach for curvature perturbations in stochastic-$\delta N$ formalism
• Oscillating Chiral Tensor Spectrum from Axionic Inflation
• Gauge field back-reaction in Born Infeld cosmologies
• Stochastic Effects in Anisotropic Inflation

Cited by in corpus (10)

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• Large fluctuations and Primordial Black Holes
• Quantum Diffusion in Sharp Transition to Non-Slow-Roll Phase
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• Explaining Large Electromagnetic Logarithms from Loops of Inflationary Gravitons
• Stochastic formalism for U(1) gauge fields in axion inflation
• Inflation with Stochastic Boundary
• Classicality of Stochastic Noise Away From Quasi-de Sitter Inflation
• Deviations from Gaussian White Noise in Stochastic Inflation
• Effects of magnetic field on the evolution of energy density fluctuations