The IR stability of de Sitter: Loop corrections to scalar propagators
arXiv:1006.0035 · doi:10.1103/PhysRevD.82.105032
Abstract
We compute 1-loop corrections to Lorentz-signature de Sitter-invariant 2-point functions defined by the interacting Euclidean vacuum for massive scalar quantum fields with cubic and quartic interactions. Our results apply to all masses for which the free Euclidean de Sitter vacuum is well-defined, including values in both the complimentary and the principal series of SO(D,1). In dimensions where the interactions are renormalizeable we provide absolutely convergent integral representations of the corrections. These representations suffice to analytically extract the leading behavior of the 2-point functions at large separations and may also be used for numerical computations. The interacting propagators decay at long distances at least as fast as one would naively expect, suggesting that such interacting de Sitter invariant vacuua are well-defined and are well-behaved in the IR. In fact, in some cases the interacting propagators decay faster than any free propagator with any value of .
To appear in Phys. Rev. D
References in corpus (20)
- Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
- De Sitter Space and Eternity
- The Quantum Gravitational Back-Reaction On Inflation
- Quantum Gravity Slows Inflation
- Stochastic Quantum Gravitational Inflation
- Super-Hubble de Sitter Fluctuations and the Dynamical RG
- Decay of Vacuum Energy
- Semiclassical relations and IR effects in de Sitter and slow-roll space-times
- A Measure of de Sitter Entropy and Eternal Inflation
- Breakdown of Semiclassical Methods in de Sitter Space
- Cosmological Dark Energy: Prospects for a Dynamical Theory
- Lifetime of a massive particle in a de Sitter universe
- A global picture of quantum de Sitter space
- Triangular invariants, three-point functions and particle stability on the de Sitter universe
- Particle decays and stability on the de Sitter universe
- Decay of the free-theory vacuum of scalar field theory in de Sitter spacetime in the interaction picture
- On Thermalization in de Sitter Space
- Eternity and the cosmological constant
- Euclidean field theory on a sphere
- A Self-Consistent Formulation of Quantum Field Theory on
Cited by in corpus (111)
- Cosmological Collider Physics
- Trans-Planckian Issues for Inflationary Cosmology
- Infrared Sensitivity of Unstable Vacua
- Analyticity and Unitarity for Cosmological Correlators
- Lecture notes on interacting quantum fields in de Sitter space
- Late-time Structure of the Bunch-Davies De Sitter Wavefunction
- Cosmological Particle Production: A Review
- From dS to AdS and back
- On the Instability of Global de Sitter Space to Particle Creation
- 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
- On "dynamical mass" generation in Euclidean de Sitter space
- Loops in inflationary correlation functions
- Massless interacting quantum fields in deSitter spacetime
- Quantum Vacuum Instability of 'Eternal' de Sitter Space
- One-loop gravitational wave spectrum in de Sitter spacetime
- Perturbative Quantum Gravity Comes of Age
- Soft de Sitter Effective Theory
- Perturbative S-matrix for massive scalar fields in global de Sitter space
- Characters of different secular effects in various patches of de Sitter space
- de Sitter invariance of the dS graviton vacuum
- Stochastic Inflation at NNLO
- Infrared dynamics of the massive theory on de Sitter space
- IR divergences and kinetic equation in de Sitter space. (Poincare patch; Principal series)
- Bootstrapping One-Loop Inflation Correlators with the Spectral Decomposition
- Infrared dynamics of massive scalars from the complementary series in de Sitter space
- Precision Calculation of Inflation Correlators at One Loop
- The IR stability of de Sitter QFT: Physical initial conditions
- Missing Scalars at the Cosmological Collider
- Condensates and quasiparticles in inflationary cosmology: mass generation and decay widths
- The Källén-Lehmann representation in de Sitter spacetime
- Amplitudes meet Cosmology: A (Scalar) Primer
- Cosmological UV/IR Divergences and de-Sitter Spacetime
- On the Decay of Massive Fields in de Sitter
- Stability of de Sitter spacetime against infrared quantum scalar field fluctuations
- Non-linear sigma model in de Sitter space
- Solution of the Dyson--Schwinger equation on de Sitter background in IR limit
- Infrared dynamics of a light scalar field in de Sitter
- Dynamical RG and Critical Phenomena in de Sitter Space
- Decay of the de Sitter Vacuum
- De Sitter Space as a Tensor Network: Cosmic No-Hair, Complementarity, and Complexity
- Back-Reaction of Super-Hubble Cosmological Perturbations Beyond Perturbation Theory
- Physical meaning and consequences of the loop IR divergences in global dS
- Spontaneous symmetry breaking in inflationary cosmology: on the fate of Goldstone Bosons
- Resummation of infrared logarithms in de Sitter space via Dyson-Schwinger equations: the ladder-rainbow approximation
- Cosmic Equilibration: A Holographic No-Hair Theorem from the Generalized Second Law
- Backreaction of superhorizon scalar field fluctuations on a de Sitter geometry : a renormalisation group perspective
- De Sitter Stability and Coarse Graining
- Asymptotic Symmetries in de Sitter and Inflationary Spacetimes
- Long distance behavior of -model correlators in de Sitter space and the resummation of secular terms
- Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincaré patch of de Sitter space
- IR Divergences in Inflation and Entropy Perturbations
- Renormalisation of IR divergences and holography in de Sitter
- Infrared behavior and gauge artifacts in de Sitter spacetime: The photon field
- On one-loop corrections to the Bunch-Davies wavefunction of the universe
- Curved space equilibration vs. flat space thermalization (a short review)
- Quantum Gravity and Inflation
- Fermion production in a magnetic field in a de Sitter Universe
- Quantum Cosmic No-Hair Theorem and Inflation
- de Sitter Space is Unstable in Quantum Gravity
- Infrared Behavior of Quantum Fields in Inflationary Cosmology -- Issues and Approaches: an overview
- Quantum Correlators in Friedmann Spacetimes -The omnipresent de Sitter and the invariant vacuum noise
- Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter II: kinetic-conformal cross terms
- In-in formalism for the entropy of quantum fields in curved spacetimes
- Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter background
- Strong restriction on inflationary vacua from the local gauge invariance II: Infrared regularity and absence of the secular growth in Euclidean vacuum
- Infrared-finite graviton two-point function in static de Sitter space
- Regulating loops in de Sitter spacetime
- de Sitter at all loops: the story of the Schwinger model
- Massless Scalar Field Vacuum in de Sitter Spacetime
- QFT in the flat chart of de Sitter space
- To the sphere and back again: de Sitter infrared correlators at NTLO in 1/N
- A quantum heating as an alternative of reheating
- Quantum Cosmology Near Two Dimensions
- Testing a Dilaton Gravity Model using Nucleosynthesis
- Quantum Weyl Invariance and Cosmology
- The Massive Flat Space Limit of Cosmological Correlators
- Strong restriction on inflationary vacua from the local gauge invariance III: Infrared regularity of graviton loops
- Our Universe from the cosmological constant
- On cosmic hair and "de Sitter breaking" in linearized quantum gravity
- Vacuum Structure of de Sitter Space
- A preferred ground state for the scalar field in de Sitter space
- The Asymptotic Structure of Cosmological Integrals
- Isometry invariance of exact correlation functions in various charts of Minkowski and de Sitter spaces
- Unruh deWitt probe of late time revival of quantum correlations in Friedmann spacetimes
- Horizon Feedback Inflation
- The Three Faces of a Fixed Point
- On memory in exponentially expanding spaces
- Correlation Functions of Massless Interacting Scalar Fields in de Sitter Space
- Correlators, Feynman diagrams, and quantum no-hair in deSitter spacetime
- Cosmological Particle Creation Beyond de Sitter
- Charged Loops at the Cosmological Collider with Chemical Potential
- Fully renormalized stress tensor correlator in flat space
- Bananas are Unparticles: Differential Equations and Cosmological Bootstrap
- Bispectrum Islands
- Non-Standard Primordial Clocks from Dynamical Mass in Alternative to Inflation Scenarios
- Quantum Cosmology in Four Dimensions
- Non-local scalar field on deSitter and its infrared behaviour
- Resummation of local and non-local scalar self energies via the Schwinger-Dyson equation in de Sitter spacetime
- Cosmological Infrared Subtractions & Infrared-Safe Computables
- On 1-loop diagrams in AdS space and the random disorder problem
- Annihilation of the scalar pair into a photon on de Sitter spacetime
- Initial states and infrared physics in locally de Sitter spacetime
- Loop effects and infrared divergences in slow-roll inflation
- The Chaplygin Gas Equation of State for the Quantized Free Scalar Field on Cosmological Spacetimes
- Green's function of the Vector fields on DeSitter Background
- Hartle-Hawking state in the real-time formalism
- Strongly Coupled Sectors in Inflation: Gapped Theories of Unparticles
- RG flows in de Sitter: c-functions and sum rules
- Propagator positivity bounds for cosmological correlators
- Massive holographic QFTs in de Sitter