Renormalization group flow and symmetry restoration in de Sitter space

Abstract

We compute the renormalization group flow of O(N) scalar field theories in de Sitter space using nonperturbative renormalization group techniques in the local potential approximation. We obtain the flow of the effective potential on superhorizon scales for arbitrary space-time dimension D=d+1. We show that, due to strong infrared fluctuations, the latter is qualitatively similar to the corresponding one in Euclidean space with D=0. It follows that spontaneously broken symmetries are radiatively restored in any space-time dimension and for any value of N.

5 pages; 1 figure, minor corrections (published version)

References in corpus (19)

• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• On the one loop corrections to inflation and the CMB anisotropies
• Breakdown of Semiclassical Methods in de Sitter Space
• On the Instability of Global de Sitter Space to Particle Creation
• On the proper treatment of massless fields in Euclidean de Sitter space
• Infrared dynamics in de Sitter space from Schwinger-Dyson equations
• Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
• Nonperturbative resummation of de Sitter infrared logarithms in the large-N limit
• On the Issue of the ζSeries Convergence and Loop Corrections in the Generation of Observable Primordial Non-Gaussianity in Slow-Roll Inflation. Part I: the Bispectrum
• Quantum Vacuum Instability of 'Eternal' de Sitter Space
• Lifetime of a massive particle in a de Sitter universe
• Symmetry Improved CJT Effective Action
• Condensates and quasiparticles in inflationary cosmology: mass generation and decay widths
• Spontaneous symmetry breaking in inflationary cosmology: on the fate of Goldstone Bosons
• Renormalization of the 2PI Hartree-Fock approximation on de Sitter background in the broken phase
• Dispersive fields in de Sitter space and event horizon thermodynamics
• Effective potential and Goldstone bosons in de Sitter space
• Renormalization flow towards gravitational catalysis in the 3d Gross-Neveu model
• Symmetry breaking in de Sitter: a stochastic effective theory approach

Cited by in corpus (39)

• Feynman Diagrams for Stochastic Inflation and Quantum Field Theory in de Sitter Space
• Scalar field correlator in de Sitter space at next-to-leading order in a 1/N expansion
• Quantum scalar fields in de Sitter space from the nonperturbative renormalization group
• Characters of different secular effects in various patches of de Sitter space
• Critical behavior in spherical and hyperbolic spaces
• Infrared dynamics of massive scalars from the complementary series in de Sitter space
• Nonperturbative renormalization group for scalar fields in de Sitter space: beyond the local potential approximation
• Stability of de Sitter spacetime against infrared quantum scalar field fluctuations
• $O(N)$ model in Euclidean de Sitter space: beyond the leading infrared approximation
• Holographic RG flows on curved manifolds and quantum phase transitions
• The spatial Functional Renormalization Group and Hadamard states on cosmological spacetimes
• Backreaction of superhorizon scalar field fluctuations on a de Sitter geometry : a renormalisation group perspective
• Asymptotic Symmetries in de Sitter and Inflationary Spacetimes
• Late-time backreaction from inflationary fluctuations of a non-minimally coupled massless scalar
• Functional renormalization group in stochastic inflation
• Phase transitions in TGFT: Functional renormalization group in the cyclic-melonic potential approximation and equivalence to O$(N)$ models
• de Sitter Space is Unstable in Quantum Gravity
• Dynamical Casimir effect and surprises with loop corrections to it
• An algebraic QFT approach to the Wetterich equation on Lorentzian manifolds
• (No) phase transition in tensorial group field theory
• A quantum heating as an alternative of reheating
• Unequal time correlators of stochastic scalar fields in de Sitter space
• Late time solution for interacting scalar in accelerating spaces
• Light scalars on cosmological backgrounds
• Renormalization group flows and fixed points for a scalar field in curved space with nonminimal $F(\varphi )R$ coupling
• The $1/N$ expansion for stochastic fields in de Sitter spacetime
• 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
• Stochastic inflation from quantum field theory and the parametric dependence of the effective noise amplitude
• When tadpoles matter: One-loop corrections for spectator Higgs in inflation
• Correlation Functions of Massless Interacting Scalar Fields in de Sitter Space
• Abelian Higgs model in power-law inflation: the propagators in the unitary gauge
• Massless Interacting Scalar Fields in de Sitter space
• Resummation of local and non-local scalar self energies via the Schwinger-Dyson equation in de Sitter spacetime
• Renormalization-Group Running Induced Cosmic Inflation
• Holographic RG flows on Squashed $S^3$
• Inflationary Potentials from the Exact Renormalisation Group
• Vacuum Energy and Renormalization of the Field-Independent Term
• RG flows in de Sitter: c-functions and sum rules