Characters of different secular effects in various patches of de Sitter space

Abstract

There are at least three different types of secular effects in the two-point correlation functions in scalar quantum field theories in de Sitter space-time. The first one is specific to de Sitter massless and tachyonic minimally coupled scalar fields. The remaining two are generic and are encountered practically in any non-stationary situation in quantum field theory. Furthermore there are secular effects in the n-point correlation functions for low enough mass. They are also specific to de Sitter quantum field theory. In this paper we focus on the differences between the secular effects in two-point functions. We discuss also their character in different patches of de Sitter space-time - global, expanding and contracting Poincaré patches.

arXiv comment25 pages,4 figures

References in corpus (77)

• 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 ${\varphi }^4$
• The Quantum Gravitational Back-Reaction On Inflation
• Quantum Gravity Slows Inflation
• Stochastic Quantum Gravitational Inflation
• Two-point Functions and Quantum Fields in de Sitter Universe
• Super-Hubble de Sitter Fluctuations and the Dynamical RG
• 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
• 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
• One Loop Graviton Self-Energy In A Locally De Sitter Background
• 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
• Reply to `Can infrared gravitons screen $\Lambda$?'
• Nonperturbative resummation of de Sitter infrared logarithms in the large-N limit
• De Sitter Breaking through Infrared Divergences
• 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
• Scalar field correlator in de Sitter space at next-to-leading order in a 1/N expansion
• Hawking radiation and secularly growing loop corrections
• Quantum scalar fields in de Sitter space from the nonperturbative renormalization group
• Perturbative S-matrix for massive scalar fields in global de Sitter space
• Renormalization group flow and symmetry restoration in de Sitter space
• Cosmological diagrammatic rules
• Many-body theory of non-equilibrium systems
• Infrared dynamics of the massive ${\varphi }^4$ theory on 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
• IR divergences and kinetic equation in de Sitter space. (Poincare patch; Principal series)
• Infrared dynamics of massive scalars from the complementary series in de Sitter space
• Effective Field Theory out of Equilibrium: Brownian quantum fields
• The IR stability of de Sitter QFT: Physical initial conditions
• The Perils of Analytic Continuation
• de Sitter tachyons and related topics
• Vacuum Fluctuations of a Scalar Field during Inflation: Quantum versus Stochastic Analysis
• On Infrared Effects in de~Sitter Background
• Nonperturbative renormalization group for scalar fields in de Sitter space: beyond the local potential approximation
• On the Decay of Massive Fields in de Sitter
• Scalar tachyons in the de Sitter universe
• $O(N)$ model in Euclidean de Sitter space: beyond the leading infrared approximation
• Stability of de Sitter spacetime against infrared quantum scalar field fluctuations
• Solution of the Dyson--Schwinger equation on de Sitter background in IR limit
• Secularly growing loop corrections in strong electric fields
• Gauging away Physics
• A Gravitational Mechanism for Cosmological Screening
• 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
• Backreaction of superhorizon scalar field fluctuations on a de Sitter geometry : a renormalisation group perspective
• Long distance behavior of $O(N)$-model correlators in de Sitter space and the resummation of secular terms
• The quantum Fokker-Planck equation of stochastic inflation
• Hartree Approximation to the One Loop Quantum Gravitational Correction to the Graviton Mode Function on de Sitter
• Dynamical Casimir effect and surprises with loop corrections to it
• On formation of equation of state of evolving quantum field
• Failure of Perturbation Theory Near Horizons: the Rindler Example
• The Quantum Corrected Mode Function and Power Spectrum for a Scalar Field during Inflation
• Comments on QED with background electric fields
• Order parameter evolution in scalar QFT: renormalization group resummation of secular terms
• A quantum heating as an alternative of reheating
• Quantum Effects of Mass on Scalar Field Correlations and Fluctuations during Inflation
• Comments on the adiabatic theorem
• Quantum corrections to the Classical Statistical Approximation for the expanding quantum field
• Massive quantum scalar field theory in the presence of moving mirrors
• Massless Interacting Scalar Fields in de Sitter space
• Quantum corrected power spectra of massless minimally coupled scalars during inflation: Effects of Yukawa coupling versus quartic self-interaction
• Applicability of the Wigner functional approach to evolution of quantum fields

Cited by in corpus (35)

• Stochastic Inflation at NNLO
• Amplitudes meet Cosmology: A (Scalar) Primer
• Dynamical RG and Critical Phenomena in de Sitter Space
• Markovian Dynamics in de Sitter
• Propagators and Gaussian effective actions in various patches of de Sitter space
• Heating up an environment around black holes and inside de Sitter space
• Curved space equilibration vs. flat space thermalization (a short review)
• Quantum fields in the static de Sitter universe
• Quantum fields in the future Rindler wedge
• Notes on peculiarities of quantum fields in space-times with horizons
• Renormalization group inspired autonomous equations for secular effects in de Sitter space
• Regulating loops in de Sitter spacetime
• Particle creation in nonstationary large N quantum mechanics
• Quantum thermodynamics of de Sitter space
• To the sphere and back again: de Sitter infrared correlators at NTLO in 1/N
• Regularizing infrared divergences in de Sitter spacetime: Loops, dimensional regularization, and cutoffs
• Dynamical Casimir effect in nonlinear vibrating cavities
• Nonlinear dynamical Casimir effect at weak nonstationarity
• On quantization in background scalar fields
• Spacetime instability due to quantum gravity
• The Asymptotic Structure of Cosmological Integrals
• Massless minimal quantum scalar field with an asymmetric self interaction in de Sitter spacetime
• Secularly growing loop corrections in scalar wave background
• Isometry invariance of exact correlation functions in various charts of Minkowski and de Sitter spaces
• Enhancement of particle creation in nonlinear resonant cavities
• Loop corrections to a cosmological particle creation
• Out of equilibrium two-dimensional Yukawa theory in a strong scalar wave background
• Cosmological Infrared Subtractions & Infrared-Safe Computables
• Boundary choices and one-loop complex gravitational path integral
• Loop corrections to the current of created pairs in the lengthy electric pulse
• The Propagator Matrix Reloaded
• Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams
• Secular growths and their relation to equilibrium states in perturbative QFT
• Separate universe in multifield inflation: a phase-space approach
• De Sitter scattering amplitudes in the Born approximation