On the one loop corrections to inflation and the CMB anisotropies

Abstract

We investigate the one loop effective potential of inflation in a standard model of chaotic inflation. The leading one loop corrections to the effective inflaton potential are evaluated in the quasi de Sitter background, and we estimate the one loop correction to the two-point function of the inflaton perturbations in the Hartree approximation. In this approximation, the one loop corrections depends on the total number of e-foldings of inflation and the maximal effect is estimated to be a correction to the power spectrum of a few percent. However, such a correction may be difficult to disentangle from the background in the simplest scenario.

arXiv comment23 pages, 6 figures. Typos corrected, references added

References in corpus (57)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The Dynamics of General Relativity
• Quantum Contributions to Cosmological Correlations
• The Trans-Planckian Problem of Inflationary Cosmology
• Primordial non-gaussianities in single field inflation
• A note on inflation and transplanckian physics
• Inflationary perturbations from a potential with a step
• The Robustness of Inflation to Changes in Super-Planck-Scale Physics
• On the Back Reaction Problem for Gravitational Perturbations
• Primordial non-gaussianities from multiple-field inflation
• The Energy-Momentum Tensor for Cosmological Perturbations
• Inflation as a Probe of Short Distance Physics
• On non-gaussianities in single-field inflation
• Signatures of Short Distance Physics in the Cosmic Microwave Background
• Inflation with a Planck-scale frequency cutoff
• Perturbation spectrum in inflation with cutoff
• Trans-Planckian dispersion and scale-invariance of inflationary perturbations
• Noncommutative Spacetime, Stringy Spacetime Uncertainty Principle, and Density Fluctuations
• Imprints of Short Distance Physics On Inflationary Cosmology
• Cosmic microwave background measurements can discriminate among inflation models
• Remarks on Inflation and Noncommutative Geometry
• Are Inflationary Predictions Sensitive to Very High Energy Physics?
• Transplanckian energy production and slow roll inflation
• Cosmological perturbations and short distance physics from Noncommutative Geometry
• Quantum corrections to slow roll inflation and new scaling of superhorizon fluctuations
• Trans-Planckian Effects in Inflationary Cosmology and the Modified Uncertainty Principle
• Cosmological Perturbations from a New-Physics Hypersurface
• WMAPping inflationary physics
• Back-Reaction and the Trans-Planckian Problem of Inflation Revisited
• Quantum corrections to the inflaton potential and the power spectra from superhorizon modes and trace anomalies
• Is there an imprint of Planck scale physics on inflationary cosmology?
• Minimal modifications of the primordial power spectrum from an adiabatic short distance cutoff
• No One Loop Back_Reaction In Chaotic Inflation
• Long-wavelength metric backreactions in slow-roll inflation
• Primeval Corrections to the CMB Anisotropies
• Decoupling in an expanding universe: backreaction barely constrains short distance effects in the CMB
• Super-Hubble Nonlinear Perturbations During Inflation
• One Loop Back Reaction On Chaotic Inflation
• The Fate of the Alpha-Vacuum
• One Loop Back Reaction On Power Law Inflation
• Renormalization of initial conditions and the trans-Planckian problem of inflation
• Energy-Momentum Tensor of Cosmological Fluctuations during Inflation
• A comment on trans-Planckian physics in inflationary universe
• Boundary Effective Field Theory and Trans-Planckian Perturbations: Astrophysical Implications
• Back-Reaction Is For Real
• The cosmological vacuum ambiguity, effective actions, and transplanckian effects in inflation
• Universal Correction to the Inflationary Vacuum
• Holographic bounds on the UV cutoff scale in inflationary cosmology
• Assigning Quantum-Mechanical Initial Conditions to Cosmological Perturbations
• Single Field Inflation models allowed and ruled out by the three years WMAP data
• Holography, inflation, and quantum fluctuations in the early universe
• The enhancement of inflaton loops in an alpha-vacuum
• Naturalness in Cosmological Initial Conditions
• Inflation as a probe of new physics
• Holographic Limitations of the Effective Field Theory of Inflation
• An effective theory of initial conditions in inflation

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• Quantum Effects of Mass on Scalar Field Correlations and Fluctuations during Inflation
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• Regularizing infrared divergences in de Sitter spacetime: Loops, dimensional regularization, and cutoffs
• Magnetogenesis and the primordial non-gaussianity
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• The graviton one-loop effective action in cosmological space-times with constant deceleration
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