Infra-red effects of Non-linear sigma model in de Sitter space

Abstract

We extend our investigation on a possible de Sitter symmetry breaking mechanism in non-linear sigma models. The scale invariance of the quantum fluctuations could make the cosmological constant time dependent signaling the de Sitter symmetry breaking. To understand such a symmetry breaking mechanism, we investigate the energy-momentum tensor. We show that the leading infra-red logarithms cancel to all orders in perturbation theory in a generic non-linear sigma model. When the target space is an N sphere, the de Sitter symmetry is preserved in the large N limit. For a less symmetric target space, the infra-red logarithms appear at the three loop level. However there is a counter term to precisely cancel it. The leading infra-red logarithms do not cancel for higher derivative interactions. We investigate such a model in which the infra-red logarithms first appear at the three loop level. A nonperturbative investigation in the large N limit shows that they eventually grow as large as the one loop effect.

39pages

References in corpus (11)

• De Sitter Space and Eternity
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Semiclassical relations and IR effects in de Sitter and slow-roll space-times
• On the proper treatment of massless fields in Euclidean de Sitter space
• Reply to `Can infrared gravitons screen $\Lambda$?'
• The curvature perturbation in a box
• Infrared Propagator Corrections for Constant Deceleration
• Two Loop Scalar Bilinears for Inflationary SQED
• IR divergence does not affect the gauge-invariant curvature perturbation
• Can infrared gravitons screen $\Lambda$?
• de Sitter invariance of the dS graviton vacuum

Cited by in corpus (34)

• Nonlocal Models of Cosmic Acceleration
• Observational Viability and Stability of Nonlocal Cosmology
• Loops in inflationary correlation functions
• Perturbative Quantum Gravity Comes of Age
• Scattering in plane-wave backgrounds: infra-red effects and pole structure
• Infrared resummation for derivative interactions in de Sitter space
• Vacuum Fluctuations of a Scalar Field during Inflation: Quantum versus Stochastic Analysis
• Issues Concerning Loop Corrections to the Primordial Power Spectra
• Linearized Weyl-Weyl Correlator in a de Sitter Breaking Gauge
• Quantum Gravitational Effects on Massive Fermions during Inflation I
• Summing Inflationary Logarithms in Nonlinear Sigma Models
• Nonperturbative infrared effects for light scalar fields in de Sitter space
• Soft Gravitons Screen Couplings in de Sitter Space
• Nonlocal Metric Realizations of MOND
• A Caveat on Building Nonlocal Models of Cosmology
• Renormalization of the 2PI Hartree-Fock approximation on de Sitter background in the broken phase
• Soft Graviton effects on Gauge theories in de Sitter Space
• Strong restriction on inflationary vacua from the local gauge invariance II: Infrared regularity and absence of the secular growth in Euclidean vacuum
• The Graviton Tail almost Completely Wags the Dog
• Evolution of vacuum fluctuations generated during and before inflation
• QFT in the flat chart of de Sitter space
• Analytical Infrared Limit of Nonlinear Thomson Scattering Including Radiation Reaction
• Strong restriction on inflationary vacua from the local gauge invariance III: Infrared regularity of graviton loops
• Remembrance of Things Past
• Summing Gravitational Effects from Loops of Inflationary Scalars
• Evolution of Vacuum Fluctuations of an Ultra-Light Massive Scalar Field generated during and before Inflation
• Alternate Definitions of Loop Corrections to the Primordial Power Spectra
• Massless minimal quantum scalar field with an asymmetric self interaction in de Sitter spacetime
• Unfinished Business in A Nonlinear Sigma Model on de Sitter Background
• Coincident Massless, Minimally Coupled Scalar Correlators on General Cosmological Backgrounds
• de Sitter duality and logarithmic decay of dark energy
• Big Steve and the State of the Universe
• Is cosmological constant screened in Liouville gravity with matter?
• Large Inflationary Logarithms in a Nontrivial Nonlinear Sigma Model