Soft Gravitons Screen Couplings in de Sitter Space

Abstract

The scale invariance of the quantum fluctuations in de Sitter space leads to the appearance of de Sitter symmetry breaking infra-red logarithms in the graviton propagator. We investigate physical effects of soft gravitons on the local dynamics of matter fields well inside the cosmological horizon. We show that the IR logarithms do not spoil Lorentz invariance in scalar and Dirac field theory. The leading IR logarithms can be absorbed by a time dependent wave function renormalization factor in the both cases. In the interacting field theory with $\lambda {\varphi }^4$ and Yukawa interaction, we find that the couplings become time dependent with definite scaling exponents. We argue that the relative scaling exponents of the couplings are gauge invariant and physical as we can use the evolution of a coupling as a physical time.

32pages, 1 figure

References in corpus (11)

• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Stochastic Inflationary Scalar Electrodynamics
• Semiclassical relations and IR effects in de Sitter and slow-roll space-times
• Gravitons Enhance Fermions during Inflation
• Infrared Propagator Corrections for Constant Deceleration
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• Scalar Field Equations from Quantum Gravity during Inflation
• A Simple Operator Check of the Effective Fermion Mode Function during Inflation
• Infra-red effects of Non-linear sigma model in de Sitter space
• Generalizing Starobinskii's Formalism to Yukawa Theory & to Scalar QED
• Scheme dependence of quantum gravity on de Sitter background

Cited by in corpus (21)

• Perturbative Quantum Gravity Comes of Age
• The Perils of Analytic Continuation
• Excitation of Photons by Inflationary Gravitons
• Quantum Gravitational Effects on Massive Fermions during Inflation I
• Mode-sum construction of the covariant graviton two-point function in the Poincaré patch of de Sitter space
• Soft Graviton effects on Gauge theories in de Sitter Space
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter II: kinetic-conformal cross terms
• Time Dependent Couplings as Observables in de Sitter Space
• One Loop Field Strengths of Charges and Dipoles on a Locally de Sitter Background
• Infrared-finite graviton two-point function in static de Sitter space
• QFT in the flat chart of de Sitter space
• Scheme dependence of quantum gravity on de Sitter background
• On cosmic hair and "de Sitter breaking" in linearized quantum gravity
• Covariant and infrared-free graviton two-point function in de Sitter spacetime II
• de Sitter duality and logarithmic decay of dark energy
• Is cosmological constant screened in Liouville gravity with matter?
• Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime
• Non-Gaussian and loop effects of inflationary correlation functions in BRST formalism
• Effective Lagrangian in de Sitter Spacetime
• Dilaton, Screening of the Cosmological Constant and IR-Driven Inflation
• Holographic beta function in de Sitter space