A Tree Theorem for Inflation

Abstract

It is shown that the generating function for tree graphs in the "in-in" formalism may be calculated by solving the classical equations of motion subject to certain constraints. This theorem is illustrated by application to the evolution of a single inflaton field in a Robertson--Walker background.

Version accepted for publication in Phys. Rev. D. 22 pages. Some changes to references and clarification in Introduction

References in corpus (13)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Quantum Contributions to Cosmological Correlations
• A general proof of the conservation of the curvature perturbation
• Quantum effects can render w<-1 on cosmological scales
• Super-Acceleration from Massless, Minimally Coupled ${\varphi }^4$
• The Quantum Gravitational Back-Reaction On Inflation
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Two Loop Scalar Self-Mass during Inflation
• One Loop Vaccum Polarization in a Locally de Sitter Background
• Classical approximation to quantum cosmological correlations
• Production of Massless Fermions during Inflation
• Non-gaussianity of inflationary field perturbations from the field equation
• Matter Contributions to the Expansion Rate of the Universe

Cited by in corpus (18)

• Gravitational signature of Schwarzschild black holes in dynamical Chern-Simons gravity
• Astrophysical and theoretical physics implications from multimessenger neutron star observations
• Perturbations of Schwarzschild black holes in Dynamical Chern-Simons modified gravity
• Cosmological Fluctuations from Infra-Red Cascading During Inflation
• Large slow-roll corrections to the bispectrum of noncanonical inflation
• Gravitational waves from extreme mass-ratio inspirals in Dynamical Chern-Simons gravity
• The cosmic microwave background bispectrum from the non-linear evolution of the cosmological perturbations
• A parton picture of de Sitter space during slow-roll inflation
• A Completely Regular Quantum Stress Tensor with $w<-1$
• The inflationary bispectrum with curved field-space
• Oscillatory features in the curvature power spectrum after a sudden turn of the inflationary trajectory
• Non-Gaussian Correlations Outside the Horizon
• The structure of correlation functions in single field inflation
• On the equation-of-motion versus in-in approach in cosmological perturbation theory
• Trans-Planckian enhancements of the primordial non-Gaussianities
• Gravity and non-gravity mediated couplings in multiple-field inflation
• Observable predictions of generalised inflationary scenarios
• Aspects of inflation and the very early universe