Infrared-finite graviton two-point function in static de Sitter space

Abstract

We study quantum gravitational perturbations in the static patch of de Sitter space. In particular, we determine the symplectic inner product of these perturbations and use it to write down the graviton two-point function in the state analogous to the Bunch-Davies vacuum in a certain gauge. We find this two-point function to be infrared-finite and time-translation invariant.

arXiv comment17 pages, REVTeX, references corrected

References in corpus (42)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• The dS/CFT Correspondence
• A master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions
• Brane World Cosmology - Gauge-Invariant Formalism for Perturbation
• The Quantum Gravitational Back-Reaction On Inflation
• Quantum Gravity Slows Inflation
• Infrared effects in inflationary correlation functions
• The IR stability of de Sitter: Loop corrections to scalar propagators
• Semiclassical relations and IR effects in de Sitter and slow-roll space-times
• Cosmological observables, IR growth of fluctuations, and scale-dependent anisotropies
• On the proper treatment of massless fields in Euclidean de Sitter space
• On the Equivalence between Euclidean and In-In Formalisms in de Sitter QFT
• The covariant graviton propagator in de Sitter spacetime
• Reply to `Can infrared gravitons screen $\Lambda$?'
• Massless interacting quantum fields in deSitter spacetime
• IR divergence does not affect the gauge-invariant curvature perturbation
• Can infrared gravitons screen $\Lambda$?
• One-loop gravitational wave spectrum in de Sitter spacetime
• Inflationary Correlation Functions without Infrared Divergences
• Gravitational Waves in Open de Sitter Space
• de Sitter invariance of the dS graviton vacuum
• Inflationary Infrared Divergences: Geometry of the Reheating Surface vs. delta N Formalism
• The physical graviton two-point function in de Sitter spacetime with S^3 spatial sections
• The IR stability of de Sitter QFT: Physical initial conditions
• The Perils of Analytic Continuation
• Nonperturbative semiclassical stability of de Sitter spacetime for small metric deviations
• Fluctuating geometries, q-observables, and infrared growth in inflationary spacetimes
• A Simplified Quantum Gravitational Model of Inflation
• Quantization of linearized gravity in cosmological vacuum spacetimes
• The Weyl tensor two-point function in de Sitter spacetime
• Gauging away Physics
• Weyl-Weyl Correlator in de Donder Gauge on de Sitter
• Soft Gravitons Screen Couplings in de Sitter Space
• Soft Graviton effects on Gauge theories in de Sitter Space
• Time Dependent Couplings as Observables in de Sitter Space
• Strong restriction on inflationary vacua from the local gauge invariance I: Local gauge invariance and infrared regularity
• Strong restriction on inflationary vacua from the local gauge invariance II: Infrared regularity and absence of the secular growth in Euclidean vacuum
• QFT in the flat chart of de Sitter space
• Scheme dependence of quantum gravity on de Sitter background
• Soft gravitational effects in Kadanoff-Baym approach

Cited by in corpus (14)

• Late-time Structure of the Bunch-Davies De Sitter Wavefunction
• Mode-sum construction of the covariant graviton two-point function in the Poincaré patch of de Sitter space
• IR finite graviton propagators in de Sitter spacetime
• The Weyl tensor correlator in cosmological spacetimes
• Gravitational waves emitted by a particle rotating around a Schwarzschild black hole: A semiclassical approach
• Covariant and infrared-free graviton two-point function in de Sitter spacetime II
• Gupta-Bleuler quantization for linearized gravity in de Sitter spacetime
• Removing the Faddeev-Popov zero modes from Yang-Mills theory in spacetimes with compact spatial sections
• Reduction of gravity-matter and dS gravity to hypersurface
• `Hidden' symmetry of linearized gravity in de Sitter space
• The Gibbons-Hawking radiation of gravitons in the Poincaré and static patches of de Sitter spacetime
• Gravitational Waves Emitted by a Uniformly Accelerated Mass: The Role of Zero-Rindler-Energy Modes in the Classical and Quantum Descriptions
• Some Inconvenient Truths
• Conformal Wavefunctions for Graviton Amplitudes