Lecture notes on interacting quantum fields in de Sitter space

Abstract

We discuss peculiarities of quantum fields in de Sitter space on the example of the self-interacting massive real scalar, minimally coupled to the gravity background. Non-conformal quantum field theories in de Sitter space show very special infrared behavior, which is not shared by quantum fields neither in flat nor in anti-de-Sitter space: in de Sitter space loops are not suppressed in comparison with tree level contributions because there are strong infrared corrections. That is true even for massive fields. Our main concern is the interrelation between these infrared effects, the invariance of the quantum field theory under the de Sitter isometry and the (in)stability of de Sitter invariant states (and of dS space itself) under nonsymmetric perturbations.

60 pages, 8 figures, Misprints are further corrected

References in corpus (14)

• De Sitter Space and Eternity
• The IR stability of de Sitter: Loop corrections to scalar propagators
• Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
• Cosmological Dark Energy: Prospects for a Dynamical Theory
• On the relation between Unruh and Sokolov--Ternov effects
• Can infrared gravitons screen $\Lambda$?
• Interacting Field Theories in de Sitter Space are Non-Unitary
• Cosmological Horizon Modes and Linear Response in de Sitter Spacetime
• Condensates and quasiparticles in inflationary cosmology: mass generation and decay widths
• Stability of de Sitter spacetime under isotropic perturbations in semiclassical gravity
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• Classical radiation by free-falling charges in de Sitter spacetime
• Spontaneous symmetry breaking in inflationary cosmology: on the fate of Goldstone Bosons
• Comments on QED with background electric fields

Cited by in corpus (113)

• Bootstrapping Inflationary Correlators in Mellin Space
• A Mellin Space Approach to Cosmological Correlators
• From dS to AdS and back
• Infrared Correlations in de Sitter Space: Field Theoretic vs. Stochastic Approach
• Partially Massless Fields During Inflation
• An effective field theory during inflation: reduced density matrix and its quantum master equation
• Quantum Gravity, Fakeons And Microcausality
• Non-local gravity and comparison with observational datasets
• 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
• Soft de Sitter Effective Theory
• Quantum scalar fields in de Sitter space from the nonperturbative renormalization group
• Characters of different secular effects in various patches of de Sitter space
• Stochastic Inflation at NNLO
• Critical behavior in spherical and hyperbolic spaces
• Infrared dynamics of massive scalars from the complementary series in de Sitter space
• Effective Field Theory out of Equilibrium: Brownian quantum fields
• Loops in Anti-de Sitter Space
• de Sitter tachyons and related topics
• Amplitudes meet Cosmology: A (Scalar) Primer
• Vacuum Fluctuations of a Scalar Field during Inflation: Quantum versus Stochastic Analysis
• Pedagogical introduction to SYK model and 2D Dilaton Gravity
• $O(N)$ model in Euclidean de Sitter space: beyond the leading infrared approximation
• Dynamical RG and Critical Phenomena in de Sitter Space
• Secularly growing loop corrections in strong electric fields
• Open Quantum Entanglement: A study of two atomic system in static patch of de Sitter space
• Markovian Dynamics in de Sitter
• Decay of the de Sitter Vacuum
• Analytical evaluation of cosmological correlation functions
• Mass Ladder Operators from Spacetime Conformal Symmetry
• Imprint of entanglement entropy in the power spectrum of inflationary fluctuations
• Pre - Inflationary Clues from String Theory ?
• Propagators and Gaussian effective actions in various patches of de Sitter space
• Asymptotically de-Sitter black holes have non-zero tidal Love numbers
• Heating up an environment around black holes and inside de Sitter space
• Macroscopic quantum tunneling: from quantum vortices to black holes and Universe
• Curved space equilibration vs. flat space thermalization (a short review)
• Fermion production in a magnetic field in a de Sitter Universe
• Quantum Correlators in Friedmann Spacetimes -The omnipresent de Sitter and the invariant vacuum noise
• Quantum fields in the static de Sitter universe
• Superhorizon entanglement entropy from particle decay in inflation
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter II: kinetic-conformal cross terms
• Dynamical Casimir effect and surprises with loop corrections to it
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter background
• Notes on peculiarities of quantum fields in space-times with horizons
• Quantum fields in the future Rindler wedge
• Regulating loops in de Sitter spacetime
• Fermionic influence (action) on inflationary fluctuations
• Particle creation in nonstationary large N quantum mechanics
• The Quantum Corrected Mode Function and Power Spectrum for a Scalar Field during Inflation
• Quantum BMS transformations in conformally flat space-times and holography
• Quantum Cosmology Near Two Dimensions
• Quantum Effects of Mass on Scalar Field Correlations and Fluctuations during Inflation
• A quantum heating as an alternative of reheating
• Debye mass in de Sitter space
• Dynamical Casimir effect in nonlinear vibrating cavities
• Exorcising Ghosts in Induced Gravity
• Regularizing infrared divergences in de Sitter spacetime: Loops, dimensional regularization, and cutoffs
• De Sitter-invariant States from Holography
• Electromagnetic two-point functions and Casimir densities for a conducting plate in de Sitter spacetime
• Quantum Weyl Invariance and Cosmology
• Topological surprises in de Sitter QFT in two-dimensions
• Unequal time correlators of stochastic scalar fields in de Sitter space
• Comments on the adiabatic theorem
• Ultraviolet phenomena in AdS self-interacting quantum field theory
• Nonlinear dynamical Casimir effect at weak nonstationarity
• Loops in dS/CFT
• On quantization in background scalar fields
• The $1/N$ expansion for stochastic fields in de Sitter spacetime
• Secularly growing loop corrections in scalar wave background
• Stress energy correlator in de Sitter space-time : its conformal masking or growth in connected Friedmann universes
• Time evolution of cascade decay
• Spacetime instability due to quantum gravity
• Massive quantum scalar field theory in the presence of moving mirrors
• The Asymptotic Structure of Cosmological Integrals
• Classical and quantum butterfly effect in nonlinear vector mechanics
• Isometry invariance of exact correlation functions in various charts of Minkowski and de Sitter spaces
• On interacting quantum fields in various charts of anti de Sitter space-time
• Fakeons, unitarity, massive gravitons and the cosmological constant
• Cosmological Particle Creation Beyond de Sitter
• Enhancement of particle creation in nonlinear resonant cavities
• Radiation of inertial scalar particles in the de Sitter universe
• Loop corrections to a cosmological particle creation
• Currents of created pairs in strong electric fields
• Quantum Cosmology in Four Dimensions
• Cosmological Infrared Subtractions & Infrared-Safe Computables
• Out of equilibrium two-dimensional Yukawa theory in a strong scalar wave background
• Annihilation of the scalar pair into a photon on de Sitter spacetime
• Resummation of local and non-local scalar self energies via the Schwinger-Dyson equation in de Sitter spacetime
• One-photon pair production on the expanding de Sitter spacetime
• Non-local scalar field on deSitter and its infrared behaviour
• Boundary choices and one-loop complex gravitational path integral
• Relaxation of vacuum energy in q-theory
• Loop corrections to the current of created pairs in the lengthy electric pulse
• Quantum cosmology of the flat universe via closed real-time path integral
• Gauge dependence in QED amplitudes in expanding de Sitter space
• Quantum Larmor radiation in de Sitter spacetime
• De Sitter entropy: on-shell versus off-shell
• Thermal effects in Ising Cosmology
• Towards a unitary formulation of quantum field theory in curved spacetime: the case of de Sitter spacetime
• Cosmological Geometric Phase From Pure Quantum States: A study without/with having Bell's inequality violation
• On (dis)agreement between different methods of calculation of the imaginary part of the effective action in expanding space-times
• Unequal time Commutators in Friedmann universes: Deterministic evolution of massless fields
• Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams
• Quantum field theory in a de Sitter universe transiting to the radiation stage
• Gauge theories and quantum gravity in a finite interval of time, on a compact space manifold
• Proper time method in de Sitter space
• Coordinate- and spacetime-independent quantum physics
• Sub-Leading Logarithms for Scalar Potential Models on de Sitter
• De Sitter scattering amplitudes in the Born approximation
• On the Imaginary Part of the Effective Action in de Sitter Spacetime with Different Regularization Schemes