A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation

DOI10.1088/1475-7516/2021/04/048zbMath1485.83173arXiv2008.07497OpenAlexW3161754214MaRDI QIDQ5026135

Yuichiro Tada, Sébastien Renaux-Petel, Lucas Pinol

Publication date: 7 February 2022

Published in: Journal of Cosmology and Astroparticle Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.07497

zbMATH Keywords

inflationcosmological perturbation theoryphysics of the early universequantum field theory on curved space

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantization of the gravitational field (83C45) Discrete version of topics in analysis (39A12) Perturbations in context of PDEs (35B20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) Fine and coarse moduli spaces (14D22)

Related Items (12)

Primordial stochastic gravitational wave background anisotropies: in-in formalization and applications ⋮ Numerical simulations of stochastic inflation using importance sampling ⋮ Markovian dynamics in de Sitter ⋮ Statistics of coarse-grained cosmological fields in stochastic inflation ⋮ Implications of stochastic effects for primordial black hole production in ultra-slow-roll inflation ⋮ Numerical stochastic inflation constrained by frozen noise ⋮ Hybrid α-attractors, primordial black holes and gravitational wave backgrounds ⋮ Borel resummation of secular divergences in stochastic inflation ⋮ Computing first-passage times with the functional renormalisation group ⋮ Primordial gravitational waves from excited states ⋮ The hand-made tail: non-perturbative tails from multifield inflation ⋮ Stochastic formalism for U(1) gauge fields in axion inflation

Uses Software

• CppTransport

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solutions for non-Markovian stochastic equations of motion
• Stochastic quantum gravitational inflation
• Stochastic inflationary scalar electrodynamics
• Republication of: The dynamics of general relativity
• Brownian motion on a manifold
• The Fokker-Planck equation. Methods of solution and applications.
• Massive scalar field evolution in de Sitter
• The quantum Fokker-Planck equation of stochastic inflation
• EFT beyond the horizon: stochastic inflation and how primordial quantum fluctuations go classical
• Ito versus Stratonovich
• Open universes, eternal inflation, and the anthropic principle
• Uptunneling to de Sitter
• The multi-field, rapid-turn inflationary solution
• Revisiting non-Gaussianity in multifield inflation with curved field space
• Higgs vacuum (in)stability during inflation. The dangerous relevance of De Sitter departure and Planck-suppressed operators
• Soft de Sitter effective theory
• Inflation, Cosmic Perturbations and Non-Gaussianities
• Field Theory of Non-Equilibrium Systems
• SHORTCOMINGS IN THE UNDERSTANDING OF WHY COSMOLOGICAL PERTURBATIONS LOOK CLASSICAL
• Condensed Matter Field Theory
• Hamiltonian formalism and gauge invariance for linear perturbations in inflation
• Brownian Motion of a Quantum Oscillator
• Inflationary stochastic anomalies
• Nonequilibrium Quantum Field Theory
• Local non-Gaussianity from inflation
• Infrared effects in inflationary correlation functions
• THE GLOBAL STRUCTURE OF THE INFLATIONARY UNIVERSE
• Properties of the noise-induced ‘‘spurious’’ drift. I.
• Properties of the noise-induced ‘‘spurious’’ drift. II. Simplifications of Langevin equations
• Scalar perturbations during multiple-field slow-roll inflation
• Vacuum stability in the early universe and the backreaction of classical gravity
• Primordial black holes—perspectives in gravitational wave astronomy
• On second-order superhorizon perturbations in multifield inflationary models
• Semiclassicality and decoherence of cosmological perturbations
• QUANTUM-TO-CLASSICAL TRANSITION FOR FLUCTUATIONS IN THE EARLY UNIVERSE
• The noise of gravitons
• Quantum diffusion during inflation and primordial black holes
• Statistical nature of infrared dynamics on de Sitter background
• Universality of multi-field α-attractors
• Primordial black holes from inflation and quantum diffusion
• Hypernatural inflation
• Primordial fluctuations and non-Gaussianities in sidetracked inflation
• Functional renormalization group for stochastic inflation
• Quantum diffusion beyond slow-roll: implications for primordial black-hole production
• Tunneling in stochastic inflation
• Flattened non-Gaussianities from the effective field theory of inflation with imaginary speed of sound
• Can all the infrared secular growth really be understood as increase of classical statistical variance?
• Cumulative effects in inflation with ultra-light entropy modes
• Squeezed bispectrum in the δNformalism: local observer effect in field space
• Effective long wavelength scalar dynamics in de Sitter
• Stochastic inflation in phase space: is slow roll a stochastic attractor?
• Scalar correlation functions in de Sitter space from the stochastic spectral expansion
• Mild non-Gaussianities under perturbative control from rapid-turn inflation models
• Scaling attractors in multi-field inflation
• Angular inflation in multi-field α-attractors
• Fat inflatons, large turns and the η-problem
• On the inflationary massive field with a curved field manifold
• A tip for landscape riders: multi-field inflation can fulfill the swampland distance conjecture
• The exponential tail of inflationary fluctuations: consequences for primordial black holes
• Generating PBHs and small-scale GWs in two-field models of inflation
• Attractors, bifurcations and curvature in multi-field inflation
• Generating primordial features at large scales in two field models of inflation
• Non-Gaussianities in models of inflation with large and negative entropic masses
• Stochastic inflationary dynamics beyond slow-roll and consequences for primordial black hole formation
• Inflation and String Theory
• A general proof of the conservation of the curvature perturbation
• A New Representation for Stochastic Integrals and Equations
• Stochastic integral
• Hyperbolic field space and swampland conjecture for DBI scalar
• The string swampland constraints require multi-field inflation
• Failure of the stochastic approach to inflation beyond slow-roll
• Stochastic ultra slow roll inflation
• On backreaction effects in geometrical destabilisation of inflation
• Coarse-grained effective action and renormalization group theory in semiclassical gravity and cosmology
• Infrared dynamics in de Sitter space from Schwinger-Dyson equations

This page was built for publication: A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation