Scaling attractors in multi-field inflation

Abstract

Multi-field inflation with a curved scalar geometry has been found to support background trajectories that violate the slow-roll, slow-turn conditions and thus have the potential to evade the swampland constraints. In order to understand how generic this novel behaviour is and what conditions lead to it, we perform a classification of dynamical attractors of two-field inflation that are of the scaling type. Scaling solutions form a one-parameter generalization of De Sitter solutions with a constant value of the first Hubble flow parameter $\epsilon$ and, as we argue and demonstrate, form a natural starting point for the study of non-slow-roll slow-turn behaviour. All scaling solutions can be classified as critical points of a specific dynamical system. We recover known multi-field inflationary attractors as approximate scaling solutions and classify their stability using dynamical system techniques. In particular, we discover that dynamical bifurcations play an integral role in the transition between geodesic and non-geodesic motion and discuss the ability of scaling solutions to describe realistic multi-field models. We revisit the criteria for background stability and show cases where the usual criteria found in the literature do not capture the background evolution of the system.

arXiv comment41 pages, 10 figures

References in corpus (75)

• Hybrid Inflation
• Adiabatic and entropy perturbations from inflation
• Superconformal Inflationary $\alpha$-Attractors
• On the Cosmological Implications of the String Swampland
• Massive Primordial Black Holes from Hybrid Inflation as Dark Matter and the seeds of Galaxies
• Chromo-Natural Inflation: Natural inflation on a steep potential with classical non-Abelian gauge fields
• Scalar perturbations during multiple-field slow-roll inflation
• Higher order corrections to primordial spectra from cosmological inflation
• The Gelaton Scenario: Equilateral non-Gaussianity from multi-field dynamics
• Multifield Inflation after Planck: The Case for Nonminimal Couplings
• Effective theories of single field inflation when heavy fields matter
• The string swampland constraints require multi-field inflation
• Conformal Transformations with Multiple Scalar Fields
• Cosmological Attractors and Initial Conditions for Inflation
• The Hyperbolic Geometry of Cosmological Attractors
• Primordial Bispectrum from Multifield Inflation with Nonminimal Couplings
• Violent Preheating in Inflation with Nonminimal Coupling
• Using the Noether symmetry approach to probe the nature of dark energy
• Strongly Coupled Perturbations in Two-Field Inflationary Models
• Geometrical Destabilization of Inflation
• Hyperinflation
• A covariant approach to general field space metric in multi-field inflation
• Unified Dark Matter in Scalar Field Cosmologies
• Preheating after Higgs Inflation: Self-Resonance and Gauge boson production
• Higgsed Chromo-Natural Inflation
• Stochastic inflation in phase space: Is slow roll a stochastic attractor?
• Lie and Noether symmetries of geodesic equations and collineations
• Inflation after Planck: Judgment Day
• Two scalar field cosmology: Conservation laws and exact solutions
• Primordial fluctuations and non-Gaussianities in sidetracked inflation
• Inflation with moderately sharp features in the speed of sound: GSR and in-in formalism for power spectrum and bispectrum
• Primordial perturbations from inflation with a hyperbolic field-space
• Two dimensional dynamical systems which admit Lie and Noether symmetries
• Preheating after multifield inflation with nonminimal couplings, II: Resonance Structure
• The hybrid inflation waterfall and the primordial curvature perturbation
• Evolution of Cosmological Perturbation in Reheating Phase of the Universe
• Gauge-flation confronted with Planck
• The CKM parameters in the SMEFT
• Universality of multi-field $\alpha$-attractors
• Eternal Inflation
• Attractor Behaviour in Multifield Inflation
• Hyper non-Gaussianities in inflation with strongly non-geodesic motion
• The rapid-turn inflationary attractor
• Density perturbations arising from multiple field slow-roll inflation
• Cumulative effects in inflation with ultra-light entropy modes
• Angular inflation in multi-field $\alpha$-attractors
• Hypernatural inflation
• When can preheating affect the CMB?
• Noether Symmetry Approach in multiple scalar fields Scenario
• Hyperinflation generalised: from its attractor mechanism to its tension with the `swampland conjectures'
• Higgsed Gauge-flation
• Sound Speed of Primordial Fluctuations in Supergravity Inflation
• Dynamical symmetries and observational constraints in scalar field cosmology
• Exact Solutions in Chiral Cosmology
• Primordial Perturbations from Multifield Inflation with Nonminimal Couplings
• Shift-Symmetric Orbital Inflation: single field or multi-field?
• Multi-field inflation with random potentials: field dimension, feature scale and non-Gaussianity
• Integrated triple-collinear counter-terms for the nested soft-collinear subtraction scheme
• Attractors, Bifurcations and Curvature in Multi-field Inflation
• On exact solutions for quintessential (inflationary) cosmological models with exponential potentials
• Universality and scaling in multi-field $\alpha$-attractor preheating
• Reheating, Multifield Inflation and the Fate of the Primordial Observables
• Geometrical destabilization, premature end of inflation and Bayesian model selection
• On the viability of m**2 phi**2 and natural inflation
• Inflationary stochastic anomalies
• Geometrical Destabilisation of Ultra-Light Axions in String Inflation
• A geometrical instability for ultra-light fields during inflation?
• On backreaction effects in geometrical destabilisation of inflation
• Autonomous three dimensional Newtonian systems which admit Lie and Noether point symmetries
• The Strong Multifield Slowroll Condition and Spiral Inflation
• Two-field Cosmological $\alpha$-attractors with Noether Symmetry
• Eternal inflation and the present universe
• Density Perturbations in Hybrid Inflation Using a Free Field Theory Time-Delay Approach
• Lectures on the Routh-Hurwitz problem
• Testing Two-Field Inflation

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• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• Seeding primordial black holes in multifield inflation
• Oscillations in the stochastic gravitational wave background from sharp features and particle production during inflation
• Turning in the landscape: a new mechanism for generating Primordial Black Holes
• A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation
• Revisiting non-Gaussianity in multifield inflation with curved field space
• Out of the Swampland with Multifield Quintessence?
• New accelerating solutions in late-time cosmology
• On the inflationary massive field with a curved field manifold
• Attractors, Bifurcations and Curvature in Multi-field Inflation
• Quantum aspects of chaos and complexity from bouncing cosmology: A study with two-mode single field squeezed state formalism
• Time-Scales for Nonlinear Processes in Preheating after Multifield Inflation with Nonminimal Couplings
• Multifield inflation beyond $N_{\mathrm{field}}=2$: non-Gaussianities and single-field effective theory
• Fat Inflatons, Large Turns and the $\eta$-problem
• Multi-field Inflation in High-Slope Potentials
• A Tip for Landscape Riders: Multi-Field Inflation Can Fulfill the Swampland Distance Conjecture
• Cosmological Solutions in Multiscalar Field Theory
• Dynamics of Chiral Cosmology
• The Multi-Field, Rapid-Turn Inflationary Solution
• Sharp turns in axion monodromy: primordial black holes and gravitational waves
• Anisotropic Hyperbolic Inflation
• The effect of multiple features on the power spectrum in two-field inflation
• Non-Gaussianities in models of inflation with large and negative entropic masses
• Completely Dark Matter from Rapid-Turn Multifield Inflation
• $\mathcal{N}$-field cosmology in hyperbolic field space: stability and general solutions
• Dynamical consistency conditions for rapid turn inflation
• Hidden symmetries of two-field cosmological models
• Quintom fields from chiral K-essence cosmology
• (Slow-)Twisting inflationary attractors
• Asymptotic behavior of $N$-fields Chiral Cosmology
• General solutions to $\mathcal{N}$-field cosmology with exponential potentials
• New Anisotropic Exact Solution in Multifield Cosmology
• Quantum Cosmology in Coupled Brans-Dicke Gravity: A Noether Symmetry Analysis
• Dynamical system analysis in multiscalar-torsion cosmology
• Dynamical analysis and cosmological evolution in Weyl integrable gravity
• Hyperbolic inflation in the Jordan frame
• Modified Brans-Dicke cosmology with Minimum Length Uncertainty
• Asymptotic behavior of saxion-axion system in stringy quintessence model
• On the Consistency of Rapid-Turn Inflation
• Analytic solution and Noether symmetries for the hyperbolic inflationary model in the Jordan frame
• Generalised conditions for rapid-turn inflation
• Loops in inflation with strongly non-geodesic motion
• Evolution of perturbations in a universe with exotic solid-like matter
• Nonminimal Couplings and the Forgotten Field of Axion Inflation
• Rapid-turn inflation in supergravity is rare and tachyonic