Reconstructing a general inflationary action

Abstract

If inflation is to be considered in an unbiased way, as possibly originating from one of a wide range of underlying theories, then observations need not be simply applied to reconstructing the inflaton potential, V(ϕ), or a specific kinetic term, as in DBI inflation, but rather to reconstruct the inflationary action in its entirety. We discuss the constraints that can be placed on a general single field action from measurements of the primordial scalar and tensor fluctuation power spectra and non-Gaussianities. We also present the flow equation formalism for reconstructing a general inflationary Lagrangian, L(X,ϕ), with X={1/2}\partial_μϕ\partial^μϕ, in a general gauge, that reduces to canonical and DBI inflation in the specific gauge \partial L/\partial X = c_s^{-1}.

16 pages, 1 figure, References added, typos corrected

References in corpus (59)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• k-Inflation
• The 3D power spectrum of galaxies from the SDSS
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Perturbations in k-inflation
• The Effective Field Theory of Inflation
• DBI in the Sky
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Brane Inflation
• Scalar Speed Limits and Cosmology: Acceleration from D-cceleration
• Formalising the Slow-Roll Approximation in Inflation
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• Single field consistency relation for the 3-point function
• Primordial non-gaussianities in single field inflation
• On non-gaussianities in single-field inflation
• Detection of primordial non-Gaussianity (fNL) in the WMAP 3-year data at above 99.5% confidence
• Reconstructing the primordial power spectrum
• Cuscuton: A Causal Field Theory with an Infinite Speed of Sound
• Higher order corrections to primordial spectra from cosmological inflation
• Running Non-Gaussianities in DBI Inflation
• Inflation: flow, fixed points and observables to arbitrary order in slow roll
• Inflation model constraints from the Wilkinson Microwave Anisotropy Probe three-year data
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Beam Profiles, Data Processing, Radiometer Characterization and Systematic Error Limits
• Kinematic Constraints to the Key Inflationary Observables
• Limits on f_NL parameters from WMAP 3yr data
• Cuscuton Cosmology: Dark Energy meets Modified Gravity
• Phenomenology of D-Brane Inflation with General Speed of Sound
• Spinflation
• Comparing Infrared Dirac-Born-Infeld Brane Inflation to Observations
• WMAPping inflationary physics
• Comparing Brane Inflation to WMAP
• Observing the Inflaton Potential
• Recovering the Inflationary Potential and Primordial Power Spectrum With a Slow Roll Prior: Methodology and Application to WMAP 3 Year Data
• On the inflationary flow equations
• Monte Carlo reconstruction of the inflationary potential
• Reconstructing the Inflaton Potential---Perturbative Reconstruction to Second Order
• Diagrammatic approach to non-Gaussianity from inflation
• Running of the Scalar Spectral Index from Inflationary Models
• MCMC analysis of WMAP3 and SDSS data points to broken symmetry inflaton potentials and provides a lower bound on the tensor to scalar ratio
• Quantum modes in DBI inflation: exact solutions and constraints from vacuum selection
• Dependence of Inflationary Reconstruction upon Cosmological Parameters
• General Single Field Inflation with Large Positive Non-Gaussianity
• Inflationary Potential Reconstruction for a WMAP Running Power Spectrum
• New constraints on the observable inflaton potential from WMAP and SDSS
• Minimal Theoretical Uncertainties in Inflationary Predictions
• Running Spectral Index as a Probe of Physics at High Scales
• Constraints on the Inflationary Expansion from Three Year WMAP, small scale CMB anisotropies and Large Scale Structure Data Sets
• Limits on primordial power spectrum resolution: An inflationary flow analysis
• The consistency equation hierarchy in single-field inflation models
• The Scalar Field Potential in Inflationary Models: Reconstruction and Further Constraints
• Flat Tree-level Inflationary Potentials in Light of CMB and LSS Data
• New Solutions of the Inflationary Flow Equations
• Approximate Consistency Condition from Running Spectral Index in Slow-Roll Inflationary Models

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