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Figueroa, D. G., Hindmarsh, M., Lizarraga, J., & Urrestilla, J. (2020). Irreducible background of gravitational waves from a cosmic defect network: Update and comparison of numerical techniques. Phys. Rev. D, 102(10), 103516–25pp.
Abstract: Cosmological phase transitions in the early Universe may produce relics in the form of a network of cosmic defects. Independently of the order of a phase transition, topology of the defects, and their global or gauge nature, the defects are expected to emit gravitational waves (GWs) as the network energy-momentum tensor adapts itself to maintaining scaling. We show that the evolution of any defect network (and for that matter any scaling source) emits a GW background with spectrum Omega(GW) proportional to f(3) for f << f(0), Omega(GW) proportional to 1/f(2) for f(0) less than or similar to f less than or similar to feq, and Omega(GW) proportional to const (i.e., exactly scale invariant) for f >> f(eq), where f(0) and f(eq) denote respectively the frequencies corresponding to the present and matter-radiation equality horizons. This background represents an irreducible emission of GWs from any scaling network of cosmic defects, with its amplitude characterized only by the symmetry-breaking scale and the nature of the defects. Using classical lattice simulations we calculate the GW signal emitted by defects created after the breaking of a global symmetry O(N) -> O(N – 1). We obtain the GW spectrum for N between 2 and 20 with two different techniques: integrating over unequal-time correlators of the energy-momentum tensor, updating our previous work on smaller lattices, and for the first time, comparing the result with the real-time evolution of the tensor perturbations sourced by the same defects. Our results validate the equivalence of the two techniques. Using cosmic microwave background upper bounds on the defects' energy scale, we discuss the difficulty of detecting this GW background in the case of global defects.
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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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