Infrared resummation for derivative interactions in de Sitter space

Abstract

In de Sitter space, scale invariant fluctuations give rise to infrared logarithmic corrections to physical quantities, which eventually spoil perturbation theories. For models without derivative interactions, it has been known that the field equation reduces to a Langevin equation with white noise in the leading logarithm approximation. The stochastic equation allows us to evaluate the infrared effects nonperturbatively. We extend the resummation formula so that it is applicable to models with derivative interactions. We first consider the nonlinear sigma model and next consider a more general model which consists of a noncanonical kinetic term and a potential term. The stochastic equations derived from the infrared resummation in these models can be understood as generalizations of the standard one to curved target spaces.

arXiv comment18 pages, matches published version

References in corpus (8)

• Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
• Stochastic Quantum Gravitational Inflation
• On the proper treatment of massless fields in Euclidean de Sitter space
• De Sitter Breaking through Infrared Divergences
• Non-linear sigma model in de Sitter space
• Infra-red effects of Non-linear sigma model in de Sitter space
• Inflationary stochastic anomalies
• Non-Gaussian and loop effects of inflationary correlation functions in BRST formalism

Cited by in corpus (25)

• Stochastic Inflation at NNLO
• Power spectrum in stochastic inflation
• A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation
• Scalar correlation functions in de Sitter space from the stochastic spectral expansion
• Infrared dynamics of a light scalar field in de Sitter
• Markovian Dynamics in de Sitter
• Summing Inflationary Logarithms in Nonlinear Sigma Models
• Massive scalar field in de Sitter spacetime: a two-loop calculation and a comparison with the stochastic approach
• Stochastic non-attractor inflation
• Scalar correlation functions for a double-well potential in de Sitter space
• Unequal time correlators of stochastic scalar fields in de Sitter space
• Remembrance of Things Past
• Summing Gravitational Effects from Loops of Inflationary Scalars
• Massless minimal quantum scalar field with an asymmetric self interaction in de Sitter spacetime
• Non-perturbative analysis for a massless minimal quantum scalar with $V(\varphi )=\lambda {\varphi }^4/4!+\beta {\varphi }^3/3!$ in the inflationary de Sitter spacetime
• The $1/N$ expansion for stochastic fields in de Sitter spacetime
• Coincident Massless, Minimally Coupled Scalar Correlators on General Cosmological Backgrounds
• Stochastic inflation from quantum field theory and the parametric dependence of the effective noise amplitude
• Unfinished Business in A Nonlinear Sigma Model on de Sitter Background
• Stochastic Baryogenesis
• Resummation of local and non-local scalar self energies via the Schwinger-Dyson equation in de Sitter spacetime
• Non-Gaussian statistics of de Sitter spectators: A perturbative derivation of stochastic dynamics
• Big Steve and the State of the Universe
• Large Inflationary Logarithms in a Nontrivial Nonlinear Sigma Model
• The hand-made tail: Non-perturbative tails from multifield inflation