Borel resummation of secular divergences in stochastic inflation

DOI10.1007/jhep08(2023)060arXiv2304.02592OpenAlexW4385837731MaRDI QIDQ6074069

Masazumi Honda, Koki Tokeshi, Lucas Pinol, Ryusuke Jinno

Publication date: 12 October 2023

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.02592

zbMATH Keywords

stochastic processesde Sitter spacenonperturbative effectsnon-equilibrium field theory

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

• Spinning vortex braneworld
• Infrared renormalon in $SU(N)$ QCD(adj.) on $\mathbb{R}^3\times S^1$
• Vacuum energy of the supersymmetric $\mathbb{C}P^{N-1}$ model on $\mathbb{R}\times S^1$ in the $1/N$ expansion
• Resurgence and Lefschetz thimble in three-dimensional $\mathcal{N}=2$ supersymmetric Chern–Simons matter theories
• More on the infrared renormalon in SU (N) QCD(adj.) on $\mathbb{R}^3\times S^1$
• $1/\epsilon$ problem in resurgence
• Quantum phase transition and resurgence: Lessons from three-dimensional $\mathcal{N}=4$ supersymmetric quantum electrodynamics
• Inflationary universe: A possible solution to the horizon and flatness problems
• A general proof of the conservation of the curvature perturbation
• Ultra-slow-roll inflation with quantum diffusion
• Coarse-grained effective action and renormalization group theory in semiclassical gravity and cosmology
• Resurgent transseries and the holomorphic anomaly
• Infrared dynamics in de Sitter space from Schwinger-Dyson equations
• Interpolating function and Stokes phenomena
• Questions on calculation of primordial power spectrum with large spikes: the resonance model case
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On perturbation theory improved by strong coupling expansion
• RG flows and bifurcations
• Multi-instantons and exact results. IV: Path integral formalism
• Borel and Stokes nonperturbative phenomena in topological string theory and \(c=1\) matrix models
• Stokes phenomena and non-perturbative completion in the multi-cut two-matrix models
• Stokes phenomena and quantum integrability in non-critical string/M theory
• Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves
• Toward Picard-Lefschetz theory of path integrals, complex saddles and resurgence
• The power of perturbation theory
• Quantum geometry of resurgent perturbative/nonperturbative relations
• Divergent series, summability and resurgence I. Monodromy and resurgence
• Resurgence theory, ghost-instantons, and analytic continuation of path integrals
• S-duality improved superstring perturbation theory
• Finite \(N\) from resurgent large \(N\)
• Identification of perturbative ambiguity canceled against bion
• Physical resurgent extrapolation
• Stochastic quantum gravitational inflation
• Nonperturbative effects and nonperturbative definitions in matrix models and topological strings
• Stochastic inflationary scalar electrodynamics
• Nonpertubative effects and the large-order behavior of matrix models and topological strings
• Multi-instantons and exact results. III: Unification of even and odd anharmonic oscillators
• Quantum-to-classical transition of cosmological perturbations for non-vacuum initial states
• Cheshire cat resurgence, self-resurgence and quasi-exact solvable systems
• Deconstructing zero: resurgence, supersymmetry and complex saddles
• Resurgence and hydrodynamic attractors in Gauss-Bonnet holography
• Critical points at infinity, non-Gaussian saddles, and bions
• S-duality invariant perturbation theory improved by holography
• From 4d Yang-Mills to 2d \(\mathbb{C} {\mathbb{P}}^{N-1}\) model: IR problem and confinement at weak coupling
• The large proper-time expansion of Yang-Mills plasma as a resurgent transseries
• On asymptotics and resurgent structures of enumerative Gromov-Witten invariants
• EFT beyond the horizon: stochastic inflation and how primordial quantum fluctuations go classical
• Fractional instantons and bions in the \(\mathrm{O}(N)\) model with twisted boundary conditions
• Resurgent analysis of localizable observables in supersymmetric gauge theories
• Resurgence analysis of 2d Yang-Mills theory on a torus
• A note on perturbation series in supersymmetric gauge theories
• Resurgence and trans-series in quantum field theory: the \(\mathbb{C}{{\mathbb{P}}^{N-1}}\) model
• Multi-instantons and exact results. I: conjectures, WKB expansions, and instanton interactions
• Multi-instantons and exact results. II: Specific cases, higher-order effects, and numerical calculations
• Exact-WKB, complete resurgent structure, and mixed anomaly in quantum mechanics on \(S^1\)
• Witten-Reshetikhin-Turaev function for a knot in Seifert manifolds
• The resurgent structure of quantum knot invariants
• A two-variable series for knot complements
• Resurgence in the \(O(4)\) sigma model
• Strongly coupled QFT dynamics via TQFT coupling
• Summing inflationary logarithms in nonlinear sigma models
• The hand-made tail: non-perturbative tails from multifield inflation
• Uniformization and constructive analytic continuation of Taylor series
• Non-perturbative approaches to the quantum Seiberg-Witten curve
• Two-point functions at arbitrary genus and its resurgence structure in a matrix model for 2D type IIA superstrings
• Resurgent expansion of Lambert series and iterated Eisenstein integrals
• From perturbative to non-perturbative in the \(O(4)\) sigma model
• Picard-Lefschetz decomposition and Cheshire Cat resurgence in 3D \(\mathcal{N} = 2\) field theories
• Fractional instanton of the SU(3) gauge theory in weak coupling regime
• Resurgence of one-point functions in a matrix model for 2D type IIA superstrings
• An introduction to resurgence, trans-series and alien calculus
• Resurgent transseries and the holomorphic anomaly: nonperturbative closed strings in local \(\mathbb{CP}^2\)
• The resurgence of instantons in string theory
• A new type of isotropic cosmological models without singularity
• S-duality resurgence in SL(2) Chern-Simons theory
• The resurgence of instantons: multi-cut Stokes phases and the Painlevé II equation
• Resumming the string perturbation series
• Resurgence in sine-Gordon quantum mechanics: exact agreement between multi-instantons and uniform WKB
• Resurgence and dynamics of \(\mathrm{O}(N)\) and Grassmannian sigma models
• Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles
• Soft de Sitter effective theory
• On exact-WKB analysis, resurgent structure, and quantization conditions
• Lectures on non-perturbative effects in large N gauge theories, matrix models and strings
• Complexified Path Integrals, Exact Saddles, and Supersymmetry
• Resurgence matches quantization
• The resurgence of the cusp anomalous dimension
• Asymptotics of the Instantons of Painlevé I
• CLASSICALITY OF PRIMORDIAL FLUCTUATIONS AND PRIMORDIAL BLACK HOLES
• Inflationary stochastic anomalies
• Multi-instantons and multicuts
• Infrared effects in inflationary correlation functions
• WKB and resurgence in the Mathieu equation
• Semiclassicality and decoherence of cosmological perturbations
• Quantum diffusion during inflation and primordial black holes
• Statistical nature of infrared dynamics on de Sitter background
• Primordial black holes from inflation and quantum diffusion
• Functional renormalization group for stochastic inflation
• Quantum diffusion beyond slow-roll: implications for primordial black-hole production
• Renormalization of the inflationary perturbations revisited
• Effective long wavelength scalar dynamics in de Sitter
• Stochastic inflation in phase space: is slow roll a stochastic attractor?
• A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation
• Power spectrum in stochastic inflation
• Infrared dynamics of a light scalar field in de Sitter
• The exponential tail of inflationary fluctuations: consequences for primordial black holes
• Stochastic inflationary dynamics beyond slow-roll and consequences for primordial black hole formation
• Implications of stochastic effects for primordial black hole production in ultra-slow-roll inflation
• Perturbative region on non-Gaussian parameter space in single-field inflation
• BPS spectra and 3-manifold invariants