Holographic bounds on the UV cutoff scale in inflationary cosmology

Abstract

We discuss how holographic bounds can be applied to the quantum fluctuations of the inflaton. In general the holographic principle will lead to a bound on the UV cutoff scale of the effective theory of inflation, but it will depend on the coarse-graining prescription involved in calculating the entropy. We propose that the entanglement entropy is a natural measure of the entropy of the quantum perturbations, and show which kind of bound on the cutoff it leads to. Such bounds are related to whether the effects of new physics will show up in the CMB.

arXiv comment19 pages, 2 figures;(V3):Comments and references added

References in corpus (65)

• Thermodynamics of Spacetime: The Einstein Equation of State
• Entropy and Area
• A Covariant Entropy Conjecture
• The Trans-Planckian Problem of Inflationary Cosmology
• A note on inflation and transplanckian physics
• The Robustness of Inflation to Changes in Super-Planck-Scale Physics
• Inflation as a Probe of Short Distance Physics
• Positive vacuum energy and the N-bound
• Inflation and de Sitter Thermodynamics
• Signatures of Short Distance Physics in the Cosmic Microwave Background
• A generic estimate of trans-Planckian modifications to the primordial power spectrum in inflation
• Inflation with a Planck-scale frequency cutoff
• Perturbation spectrum in inflation with cutoff
• Proof of Classical Versions of the Bousso Entropy Bound and of the Generalized Second Law
• Mode Generating Mechanism in Inflation with Cutoff
• On the Dependence of the Spectra of Fluctuations in Inflationary Cosmology on Trans-Planckian Physics
• DeSitter entropy, quantum entanglement and ADS/CFT
• Trans-Planckian dispersion and scale-invariance of inflationary perturbations
• Noncommutative Spacetime, Stringy Spacetime Uncertainty Principle, and Density Fluctuations
• Robustness of the inflationary perturbation spectrum to trans-Planckian physics
• Imprints of Short Distance Physics On Inflationary Cosmology
• Remarks on Inflation and Noncommutative Geometry
• Relic Dark energy from Trans-Planckian Regime
• On Signatures of Short Distance Physics in the Cosmic Microwave Background
• Initial Conditions for Inflation
• Cosmological perturbations and short distance physics from Noncommutative Geometry
• Bekenstein bounds in de Sitter and flat space
• Interacting Quantum Field Theory in de Sitter Vacua
• The Generalized Second Law of Thermodynamics in Cosmology
• Trans-Planckian Effects in Inflationary Cosmology and the Modified Uncertainty Principle
• Cosmological Perturbations from a New-Physics Hypersurface
• The stress-energy tensor for trans-Planckian cosmology
• On the consistency of de Sitter vacua
• CMB Power Spectrum from Noncommutative Spacetime
• The Entropy of the Gravitational Field
• The Corley-Jacobson dispersion relation and trans-Planckian inflation
• Is there an imprint of Planck scale physics on inflationary cosmology?
• Minimal modifications of the primordial power spectrum from an adiabatic short distance cutoff
• Short Distance Physics and the Consistency Relation for Scalar and Tensor Fluctuations in the Inflationary Universe
• A note on alpha-vacua and interacting field theory in de Sitter space
• Squeezed States in the de Sitter Vacuum
• Initial state effects on the cosmic microwave background and trans-planckian physics
• Simple sufficient conditions for the generalized covariant entropy bound
• Quantum Squeezing and Cosmological Entropy Production
• Entropy Production in the Cosmological Amplification of the Vacuum Fluctuations
• Can MAP and Planck map Planck physics?
• Trans-Planckian Particle Creation in Cosmology and Ultra-High Energy Cosmic Rays
• Modified Dispersion Relations from Closed Strings in Toroidal Cosmology
• Entanglement entropy in curved spacetimes with event horizons
• Trans-Planckian Physics and the Spectrum of Fluctuations in a Bouncing Universe
• A Quantum Bousso Bound
• Vacuum Choices and the Predictions of Inflation
• Trans-Planckian footprints in inflationary cosmology
• On the Signature of Short Distance Scale in the Cosmic Microwave Background
• The Fate of the Alpha-Vacuum
• The $\Lambda \mathrm{CDM}$ Limit of the Generalized Chaplygin Gas Scenario
• Transdimensional physics and inflation
• Perturbative Instabilities on the Non-Commutative Torus, Morita Duality and Twisted Boundary Conditions
• Minimal Theoretical Uncertainties in Inflationary Predictions
• Neutrinos in 5D SO(10) Unification
• SN1A data and the CMB of Modified Curvature at short and long distances
• Large Squeezing Behavior of Cosmological Entropy Generation
• Effects of Quantum Deformations on the Spectrum of Cosmological Perturbations
• Holography, inflation, and quantum fluctuations in the early universe
• Holographic Limitations of the Effective Field Theory of Inflation

Cited by in corpus (29)

• On the one loop corrections to inflation and the CMB anisotropies
• Transplanckian energy production and slow roll inflation
• A CMB/Dark Energy Cosmic Duality
• Trans-Planckian Effects in Inflationary Cosmology and the Modified Uncertainty Principle
• Searching for a holographic connection between dark energy and the low-l CMB multipoles
• Power Spectra in Spacetime Noncommutative Inflation
• Fractional Brane State in the Early Universe
• Theoretical tools for CMB physics
• Inflationary Perturbations from Deformed CFT
• Quantum Gravity Constraints on Inflation
• Asymptotic Symmetries in de Sitter and Inflationary Spacetimes
• Zero-point quantum fluctuations in cosmology
• Large Field Inflation and Gravitational Entropy
• Sourced Friedmann equations with holographic energy density
• Planck scale inflationary spectra from quantum gravity
• Holography, the Cosmological Constant and the Upper Limit of the Number of e-foldings
• A Note on Noncommutative Brane Inflation
• A Note on the Quantum Creation of Universes
• Observing trans-Planckian ripples in the primordial power spectrum with future large scale structure probes
• Noncommutative KKLMMT Model
• Inflation and the semiclassical dynamics of a conformal scalar field
• Is dark energy from cosmic Hawking radiation?
• Constraining dark energy
• Shadows of trans-planckian physics on cosmology and the role of the zero-point energy density
• On the Effective Equation of State of Dark Energy
• Slow-roll reconstruction for running spectral index
• Hints of (trans-Planckian) asymptotic freedom in semiclassical cosmology
• Supersymmetric dark energy
• Zero Cosmological Constant and Nonzero Dark Energy from Holographic Principle