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.

25 pages,4 figures

References in corpus (21)

• 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
• On Resumming Inflationary Perturbations beyond One-loop
• Classical approximation to quantum cosmological correlations
• Reply to `Can infrared gravitons screen $\Lambda$?'
• 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
• Effective Field Theory out of Equilibrium: Brownian quantum fields
• 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
• Secularly growing loop corrections in strong electric fields
• The quantum Fokker-Planck equation of stochastic inflation
• Dynamical Casimir effect and surprises with loop corrections to it
• On formation of equation of state of evolving quantum field
• Comments on QED with background electric fields
• Massless Interacting Scalar Fields in de Sitter space
• Applicability of the Wigner functional approach to evolution of quantum fields

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• 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
• 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
• Massless minimal quantum scalar field with an asymmetric self interaction in de Sitter spacetime
• Spacetime instability due to quantum gravity
• The Asymptotic Structure of Cosmological Integrals
• 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
• Cosmological Infrared Subtractions & Infrared-Safe Computables
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