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.

arXiv comment27 pages, no figures, The version to apper in PRD

References in corpus (72)

• Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
• Quantum effects can render w<-1 on cosmological scales
• Super-Acceleration from Massless, Minimally Coupled ${\varphi }^4$
• De Sitter Space and Eternity
• Stochastic Quantum Gravitational Inflation
• Two-point Functions and Quantum Fields in de Sitter Universe
• Super-Hubble de Sitter Fluctuations and the Dynamical RG
• Decay of Vacuum Energy
• The IR stability of de Sitter: Loop corrections to scalar propagators
• Semiclassical relations and IR effects in de Sitter and slow-roll space-times
• Non-Equilibrium Evolution of Scalar Fields in FRW Cosmologies I
• Breakdown of Semiclassical Methods in de Sitter Space
• Infrared Sensitivity of Unstable Vacua
• Lecture notes on interacting quantum fields 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
• Scalar Field Dynamics in Friedman Robertson Walker Spacetimes
• Infrared Correlations in de Sitter Space: Field Theoretic vs. Stochastic Approach
• On the Equivalence between Euclidean and In-In Formalisms in de Sitter QFT
• Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time
• Infrared dynamics in de Sitter space from Schwinger-Dyson equations
• Classical approximation to quantum cosmological correlations
• An effective field theory during inflation: reduced density matrix and its quantum master equation
• Nonperturbative resummation of de Sitter infrared logarithms in the large-N limit
• Massless interacting quantum fields in deSitter spacetime
• Lifetime of a massive particle in a de Sitter universe
• Infrared instability of the de Sitter space
• An effective field theory during inflation II: stochastic dynamics and power spectrum suppression
• Perturbative Quantum Gravity Comes of Age
• Hawking radiation and secularly growing loop corrections
• Scalar field correlator in de Sitter space at next-to-leading order in a 1/N expansion
• Perturbative S-matrix for massive scalar fields in global de Sitter space
• Quantum scalar fields in de Sitter space from the nonperturbative renormalization group
• Renormalization group flow and symmetry restoration in de Sitter space
• Cosmological diagrammatic rules
• A Completely Regular Quantum Stress Tensor with $w<-1$
• Many-body theory of non-equilibrium systems
• Triangular invariants, three-point functions and particle stability on the de Sitter universe
• Infrared dynamics of the massive ${\varphi }^4$ theory on de Sitter space
• Particle decays and stability on the de Sitter universe
• Critical behavior in spherical and hyperbolic spaces
• IR divergences and kinetic equation in de Sitter space. (Poincare patch; Principal series)
• Effective Field Theory out of Equilibrium: Brownian quantum fields
• Cosmological Horizon Modes and Linear Response in de Sitter Spacetime
• The IR stability of de Sitter QFT: Physical initial conditions
• de Sitter tachyons and related topics
• On Infrared Effects in de~Sitter Background
• 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
• Scalar tachyons in the de Sitter universe
• On the Decay of Massive Fields in de Sitter
• $O(N)$ model in Euclidean de Sitter space: beyond the leading infrared approximation
• Solution of the Dyson--Schwinger equation on de Sitter background in IR limit
• Secularly growing loop corrections in strong electric fields
• The Hartree approximation in curved spacetimes revisited I: the effective potential in de Sitter
• Physical meaning and consequences of the loop IR divergences in global dS
• Resummation of infrared logarithms in de Sitter space via Dyson-Schwinger equations: the ladder-rainbow approximation
• Decay of the free-theory vacuum of scalar field theory in de Sitter spacetime in the interaction picture
• Superhorizon entanglement entropy from particle decay in inflation
• A conformally coupled massive scalar field in the de Sitter expanding universe with the mass term treated as a perturbation
• Eternity and the cosmological constant
• Order parameter evolution in scalar QFT: renormalization group resummation of secular terms
• The Quantum Corrected Mode Function and Power Spectrum for a Scalar Field during Inflation
• Comments on the vacuum energy decay
• Comparative study of loop contributions in AdS and dS
• Time evolution of cascade decay
• Massless Interacting Scalar Fields in de Sitter space
• Radiation of inertial scalar particles in the de Sitter universe
• Quantum corrected power spectra of massless minimally coupled scalars during inflation: Effects of Yukawa coupling versus quartic self-interaction
• One-photon pair production on the expanding de Sitter spacetime

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• 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