Infrared dynamics of massive scalars from the complementary series in de Sitter space

Abstract

We continue a previous study about the infrared loop effects in the $D$-dimensional de Sitter space for a real scalar ${\varphi }^4$ theory from the complementary series whose bare mass belongs to the interval $\frac{\sqrt{3}}{4}\left(D-1\right)<m\le \frac{D-1}{2}$, in units of the Hubble scale. The lower bound comes from the appearance of discrete states in the mass spectrum of the theory when that bound is violated, causing large IR loop effects in the vertices. We derive an equation which allows to perform a self--consistent resummation of the leading IR contributions from all loops to the two-point correlation functions in an expanding Poincaré patch of the de Sitter manifold. The resummation can be done for density perturbations of the Bunch--Davies state which violate the de Sitter isometry. There exist solutions having a singular (exploding) behavior and therefore the backreaction can change the de Sitter geometry.

27 pages, no figures, The version to apper in PRD

References in corpus (23)

• De Sitter Space and Eternity
• The IR stability of de Sitter: Loop corrections to scalar propagators
• Semiclassical relations and IR effects in de Sitter and slow-roll space-times
• Breakdown of Semiclassical Methods in de Sitter Space
• Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
• Cosmological Dark Energy: Prospects for a Dynamical Theory
• On Resumming Inflationary Perturbations beyond One-loop
• Classical approximation to quantum cosmological correlations
• Lifetime of a massive particle in a de Sitter universe
• Infrared instability of the de Sitter space
• Perturbative Quantum Gravity Comes of Age
• Many-body theory of non-equilibrium systems
• Critical behavior in spherical and hyperbolic spaces
• Effective Field Theory out of Equilibrium: Brownian quantum fields
• Cosmological Horizon Modes and Linear Response in de Sitter Spacetime
• de Sitter tachyons and related topics
• Vacuum Fluctuations of a Scalar Field during Inflation: Quantum versus Stochastic Analysis
• Nonperturbative renormalization group for scalar fields in de Sitter space: beyond the local potential approximation
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• $O(N)$ model in Euclidean de Sitter space: beyond the leading infrared approximation
• Secularly growing loop corrections in strong electric fields
• Massless Interacting Scalar Fields in de Sitter space
• Radiation of inertial scalar particles in the de Sitter universe

Cited by in corpus (35)

• Characters of different secular effects in various patches of de Sitter space
• Stochastic Inflation at NNLO
• The Källén-Lehmann representation in de Sitter spacetime
• Amplitudes meet Cosmology: A (Scalar) Primer
• Stability of de Sitter spacetime against infrared quantum scalar field fluctuations
• Dynamical RG and Critical Phenomena in de Sitter Space
• Decay of the de Sitter Vacuum
• Backreaction of superhorizon scalar field fluctuations on a de Sitter geometry : a renormalisation group perspective
• Renormalisation of IR divergences and holography in de Sitter
• Propagators and Gaussian effective actions in various patches of de Sitter space
• Curved space equilibration vs. flat space thermalization (a short review)
• Quantum fields in the static de Sitter universe
• Dynamical Casimir effect and surprises with loop corrections to it
• Particle creation in nonstationary large N quantum mechanics
• Regulating loops in de Sitter spacetime
• A quantum heating as an alternative of reheating
• Quantum Effects of Mass on Scalar Field Correlations and Fluctuations during Inflation
• Dynamical Casimir effect in nonlinear vibrating cavities
• Debye mass in de Sitter space
• Regularizing infrared divergences in de Sitter spacetime: Loops, dimensional regularization, and cutoffs
• Topological surprises in de Sitter QFT in two-dimensions
• Nonlinear dynamical Casimir effect at weak nonstationarity
• Comments on the adiabatic theorem
• On quantization in background scalar fields
• Secularly growing loop corrections in scalar wave background
• The Asymptotic Structure of Cosmological Integrals
• Massive quantum scalar field theory in the presence of moving mirrors
• Spacetime instability due to quantum gravity
• Enhancement of particle creation in nonlinear resonant cavities
• Loop corrections to a cosmological particle creation
• Secularly growing loop corrections to the dynamical Casimir effect
• Out of equilibrium two-dimensional Yukawa theory in a strong scalar wave background
• Cosmological Infrared Subtractions & Infrared-Safe Computables
• The Propagator Matrix Reloaded
• Massive holographic QFTs in de Sitter