Infrared dynamics of the massive theory on de Sitter space
arXiv:1303.1068 · doi:10.1103/PhysRevD.88.024021
Abstract
We study massive real scalar theory in the expanding Poincare patch of de Sitter space. We calculate the leading two-loop infrared contribution to the two-point function in this theory. We do that for the massive fields both from the principal and complementary series. As can be expected at this order light fields from the complementary series show stronger infrared effects than the heavy fields from the principal one. For the principal series, unlike the complementary one, we can derive the kinetic equation from the system of Dyson--Schwinger equation, which allows us to sum up the leading infrared contributions from all loops. We find two peculiar solutions of the kinetic equation. One of them describes the stationary Gibbons--Hawking-type distribution for the density per comoving volume. Another solution shows explosive (square root of the pole in finite proper time) growth of the particle number density per comoving volume. That signals the possibility of the destruction of the expanding Poincare patch even by the very massive fields. We conclude with the consideration of the infrared divergences in global de Sitter space and in its contracting Poincare patch.
18 pages, no figures; Misprints are corrected
References in corpus (21)
- Stochastic Inflationary Scalar Electrodynamics
- The IR stability of de Sitter: Loop corrections to scalar propagators
- Leading Log Solution for Inflationary Yukawa
- Trans-Planckian Issues for Inflationary Cosmology
- Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
- Cosmological Dark Energy: Prospects for a Dynamical Theory
- Classical approximation to quantum cosmological correlations
- Two loop stress-energy tensor for inflationary scalar electrodynamics
- On the relation between Unruh and Sokolov--Ternov effects
- Two Loop Scalar Bilinears for Inflationary SQED
- Lifetime of a massive particle in a de Sitter universe
- Infrared instability of the de Sitter space
- Interacting Field Theories in de Sitter Space are Non-Unitary
- One Loop Corrected Mode Functions for SQED during Inflation
- Condensates and quasiparticles in inflationary cosmology: mass generation and decay widths
- Cosmological UV/IR Divergences and de-Sitter Spacetime
- Classical radiation by free-falling charges in de Sitter spacetime
- Physical meaning and consequences of the loop IR divergences in global dS
- Spontaneous symmetry breaking in inflationary cosmology: on the fate of Goldstone Bosons
- Generalizing Starobinskii's Formalism to Yukawa Theory & to Scalar QED
- Correlators, Feynman diagrams, and quantum no-hair in deSitter spacetime
Cited by in corpus (39)
- Lecture notes on interacting quantum fields in de Sitter space
- Infrared dynamics in de Sitter space from Schwinger-Dyson equations
- 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
- Characters of different secular effects in various patches of de Sitter space
- Infrared dynamics of massive scalars from the complementary series in de Sitter space
- Nonperturbative renormalization group for scalar fields in de Sitter space: beyond the local potential approximation
- Stability of de Sitter spacetime against infrared quantum scalar field fluctuations
- Secularly growing loop corrections in strong electric fields
- The Hartree approximation in curved spacetimes revisited I: the effective potential in de Sitter
- Backreaction of superhorizon scalar field fluctuations on a de Sitter geometry : a renormalisation group perspective
- Asymptotic Symmetries in de Sitter and Inflationary Spacetimes
- Massive scalar field in de Sitter spacetime: a two-loop calculation and a comparison with the stochastic approach
- Curved space equilibration vs. flat space thermalization (a short review)
- de Sitter Space is Unstable in Quantum Gravity
- 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
- Particle creation in nonstationary large N quantum mechanics
- Quantum Effects of Mass on Scalar Field Correlations and Fluctuations during Inflation
- A quantum heating as an alternative of reheating
- Regularizing infrared divergences in de Sitter spacetime: Loops, dimensional regularization, and cutoffs
- Dynamical Casimir effect in nonlinear vibrating cavities
- Debye mass in de Sitter space
- Topological surprises in de Sitter QFT in two-dimensions
- Ultraviolet phenomena in AdS self-interacting quantum field theory
- Comments on the adiabatic theorem
- Massive quantum scalar field theory in the presence of moving mirrors
- Massless minimal quantum scalar field with an asymmetric self interaction in de Sitter spacetime
- An Étude on the Regularization and Renormalization of Divergences in Primordial Observables
- Hartree approximation in curved spacetimes revisited II: The semiclassical Einstein equations and de Sitter self-consistent solutions
- Loop corrections to a cosmological particle creation
- Out of equilibrium two-dimensional Yukawa theory in a strong scalar wave background
- Quantum Larmor radiation in de Sitter spacetime
- Gauge dependence in QED amplitudes in expanding de Sitter space
- "Old" Conformal Bootstrap on AdS: symmetric scalar model
- The Propagator Matrix Reloaded
- Semiclassical treatment of pair creation in de Sitter space