Dynamical RG and Critical Phenomena in de Sitter Space

Abstract

Perturbative quantum field theory in de Sitter space is known to give rise to a variety of contributions that diverge with time (secular terms). Despite significant progress, a complete understanding of the physical origin of these divergences remains an outstanding problem. In this paper, we will study the origin of secular divergences in de Sitter space for interacting theories that are near attractive conformal fixed points. We show that the secular divergences are determined by the anomalous dimensions of the same theory in flat space and can be re-summed using the dynamical renormalization group. This behavior is mandatory at the conformal fixed point but we show that it holds away from the fixed point as well. We analyze this problem in general using conformal perturbation theory and study conformally coupled scalar fields in four and $4-\epsilon$ dimensions as examples.

arXiv comment23 pages, 1 figure; v2: minor corrections

References in corpus (45)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The dS/CFT Correspondence
• Quantum Contributions to Cosmological Correlations
• Single field consistency relation for the 3-point function
• On graviton non-Gaussianities during inflation
• Quantum Gravity In De Sitter Space
• Holography in General Space-times
• Adiabatic Modes in Cosmology
• The Quantum Gravitational Back-Reaction On Inflation
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Stochastic Quantum Gravitational Inflation
• Weyl Cohomology and the Effective Action for Conformal Anomalies
• Cosmological Collider Physics
• On Loops in Inflation
• Super-Hubble de Sitter Fluctuations and the Dynamical RG
• The IR stability of de Sitter: Loop corrections to scalar propagators
• New Recursion Relations and a Flat Space Limit for AdS/CFT Correlators
• Conformal Symmetries of Adiabatic Modes in Cosmology
• The dS/dS Correspondence
• Breakdown of Semiclassical Methods in de Sitter Space
• Lecture notes on interacting quantum fields in de Sitter space
• Late-time Structure of the Bunch-Davies De Sitter Wavefunction
• Open EFTs, IR Effects and Late-Time Resummations: Systematic Corrections in Stochastic Inflation
• Symmetries and Loops in Inflation
• Dark matter clustering: a simple renormalization group approach
• On Resumming Inflationary Perturbations beyond One-loop
• Dynamical renormalization group approach to relaxation in quantum field theory
• The constancy of ζin single-clock Inflation at all loops
• Nonperturbative resummation of de Sitter infrared logarithms in the large-N limit
• Infrared instability of the de Sitter space
• Dynamical renormalization group resummation of finite temperature infrared divergences
• Particle decay in inflationary cosmology
• Perturbative S-matrix for massive scalar fields in global de Sitter space
• A parton picture of de Sitter space during slow-roll inflation
• 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
• The IR stability of de Sitter QFT: Physical initial conditions
• $O(N)$ model in Euclidean de Sitter space: beyond the leading infrared approximation
• Collective Symmetry Breaking and Resonant Non-Gaussianity
• Matter Contributions to the Expansion Rate of the Universe
• Anomalous Dimensions and Non-Gaussianity
• Weyl versus Conformal Invariance in Quantum Field Theory
• Dynamical renormalization group methods in theory of eternal inflation
• On the Emergence of Lorentz Invariance and Unitarity from the Scattering Facet of Cosmological Polytopes
• From the flat-space S-matrix to the Wavefunction of the Universe

Cited by in corpus (21)

• Quantum loop effects on the power spectrum and constraints on primordial black holes
• On the time evolution of cosmological correlators
• Soft de Sitter Effective Theory
• Stochastic Inflation at NNLO
• Benchmarking the cosmological master equations
• Unitarity of quantum-gravitational corrections to primordial fluctuations in the Born-Oppenheimer approach
• Markovian Dynamics in de Sitter
• Observations in Quantum Cosmology
• Cosmic Purity Lost: Perturbative and Resummed Late-Time Inflationary Decoherence
• Large fluctuations and Primordial Black Holes
• Renormalisation of IR divergences and holography in de Sitter
• CFTs Blueshift Tensor Fluctuations Universally
• In-in formalism for the entropy of quantum fields in curved spacetimes
• Regulating loops in de Sitter spacetime
• Superadiabatic basis in cosmological particle production: application to preheating
• The Massive Flat Space Limit of Cosmological Correlators
• Perturbative region on non-Gaussian parameter space in single-field inflation
• An Étude on the Regularization and Renormalization of Divergences in Primordial Observables
• The Propagator Matrix Reloaded
• RG flows in de Sitter: c-functions and sum rules
• Massive holographic QFTs in de Sitter