A covariant approach to general field space metric in multi-field inflation

Abstract

We present a covariant formalism for general multi-field system which enables us to obtain higher order action of cosmological perturbations easily and systematically. The effects of the field space geometry, described by the Riemann curvature tensor of the field space, are naturally incorporated. We explicitly calculate up to the cubic order action which is necessary to estimate non-Gaussianity and present those geometric terms which have not yet known before.

(v1) 18 pages, 1 figure; (v2) references added, typos corrected, to appear in Journal of Cosmology and Astroparticle Physics; (v3) typos in (54), (62) and (64) corrected

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• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Standard Model Higgs boson as the inflaton
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Higgs inflation: consistency and generalisations
• Power-counting and the Validity of the Classical Approximation During Inflation
• Features of heavy physics in the CMB power spectrum
• Superconformal Symmetry, NMSSM, and Inflation
• Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation
• Perturbations in generalized multi-field inflation
• Unitarizing Higgs Inflation
• Primordial fluctuations and non-Gaussianities in multi-field DBI inflation
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• 21-cm Background Anisotropies Can Discern Primordial Non-Gaussianity
• Evolution of the curvature perturbation during and after multi-field inflation

Cited by in corpus (78)

• Nonperturbative Dynamics Of Reheating After Inflation: A Review
• The Imperfect Fluid behind Kinetic Gravity Braiding
• Effective theories of single field inflation when heavy fields matter
• On the importance of heavy fields during inflation
• Primordial Bispectrum from Multifield Inflation with Nonminimal Couplings
• Geometrical Destabilization of Inflation
• Hyperinflation
• Preheating after Multifield Inflation with Nonminimal Couplings, I: Covariant Formalism and Attractor Behavior
• Primordial Black Holes from Multifield Inflation with Nonminimal Couplings
• Primordial perturbations from inflation with a hyperbolic field-space
• Scaling attractors in multi-field inflation
• The inflationary bispectrum with curved field-space
• Inflation in a scale invariant universe
• Frame Covariant Nonminimal Multifield Inflation
• Revisiting non-Gaussianity in multifield inflation with curved field space
• Quantum corrections in Higgs inflation: the Standard Model case
• Curvature perturbation in multi-field inflation with non-minimal coupling
• Oscillatory features in the curvature power spectrum after a sudden turn of the inflationary trajectory
• On the inflationary massive field with a curved field manifold
• Planck Constraints and Gravitational Wave Forecasts for Primordial Black Hole Dark Matter Seeded by Multifield Inflation
• Attractors, Bifurcations and Curvature in Multi-field Inflation
• Universality and scaling in multi-field $\alpha$-attractor preheating
• Primordial black holes and gravitational waves from nonminimally coupled supergravity inflation
• 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
• The δN formula is the dynamical renormalization group
• Numerically evaluating the bispectrum in curved field-space - with PyTransport 2.0
• $\delta N$ formalism from superpotential and holography
• Non-linear curvature perturbation in multi-field inflation models with non-minimal coupling
• Geometrical Destabilisation of Ultra-Light Axions in String Inflation
• Renormalization Group Equations of Higgs-$R^2$ Inflation
• A geometrical instability for ultra-light fields during inflation?
• General formula for the running of local fNL
• Scalar perturbations from inflation in the presence of gauge fields
• Multi-field effects in a simple extension of $R^2$ inflation
• The Eisenhart Lift for Field Theories
• Modular Inflation Observables and $j$-Inflation Phenomenology
• Preheating from target space curvature and unitarity violation: Analysis in field space
• The Non-Minimal Ekpyrotic Trispectrum
• Multifield dynamics of supersymmetric Higgs inflation in SU(5) GUT
• Cosmological observables in multi-field inflation with a non-flat field space
• Towards general patterns of features in multi-field inflation
• Numerical evaluation of inflationary 3-point functions on curved field space
• Path integral for multi-field inflation
• The $R^2$-Higgs inflation: $R^3$ contribution and preheating after ACT and SPT data
• Matching and running sensitivity in non-renormalizable inflationary models
• Consistency relations in multi-field inflation
• Voids and Superstructures: correlations and induced large-scale velocity flows
• Modular Inflation at Higher Level $N$
• Hybrid metric-Palatini brane system
• A General Framework of Automorphic Inflation
• Dark Matter from Entropy Perturbations in Curved Field Space
• Exploring the inflation of $F(R)$ gravity
• Stability of braneworlds with non-minimally coupled multi-scalar fields
• A Fake Instability in String Inflation
• Natural Inflation with Exponentially Small Tensor-To-Scalar Ratio
• Exploring primordial black holes and gravitational waves with R-symmetric GUT Higgs inflation
• Nonlinear Field Space Cosmology
• Quadratic integrals of a multi-scalar cosmological model
• Multi-field Mimetic Gravity
• Running of scalar spectral index in multi-field inflation
• Baryogenesis in $R^2$-Higgs Inflation: the Gravitational Connection
• Covariant second-order perturbations in generalized two-field inflation
• Dynamical renormalization and universality in classical multifield cosmological models
• Isocurvature modes and non-Gaussianity in affine inflation
• Origin of ultra-light fields during inflation and their suppressed non-Gaussianity
• Adiabatic and Isocurvature Perturbation Projections in Multi-Field Inflation
• Two-point correlators revisited: Fast and slow scales in multifield models of inflation
• Multi-field inflation and the field-space metric
• Nonminimal Couplings in the Early Universe: Multifield Models of Inflation and the Latest Observations
• Nonminimal Couplings and the Forgotten Field of Axion Inflation
• The UV Sensitivity of Axion Monodromy Inflation
• Observable predictions of generalised inflationary scenarios
• Tilt and Tensor-to-Scalar Ratio in Multi-Scalar Field Inflation: Non-Sum-Separable Case
• Revisiting local-scale invariant gravitational theory
• Separate universe in multifield inflation: a phase-space approach
• Squeezed bispectrum from multi-field inflation with curved field space metric
• The $R^2$-Higgs inflation with two Higgs doublets