Time Dependent Couplings as Observables in de Sitter Space

Abstract

We summarize and expand our investigations concerning the soft graviton effects on microscopic matter dynamics in de Sitter space. The physical couplings receive IR logarithmic corrections which are sensitive to the IR cut-off at the one-loop level. The scale invariant spectrum in the gravitational propagator at the super-horizon scale is the source of the de Sitter symmetry breaking. The quartic scalar, Yukawa and gauge couplings become time dependent and diminish with time. In contrast, the Newton's constant increases with time. We clarify the physical mechanism behind these effects in terms of the conformal mode dynamics in analogy with 2d quantum gravity. We show that they are the inevitable consequence of the general covariance and lead to gauge invariant predictions. We construct a simple model in which the cosmological constant is self-tuned to vanish due to UV-IR mixing effect. We also discuss phenomenological implications such as decaying Dark Energy and SUSY breaking at the Inflation era. The quantum effect alters the classical slow roll picture in general if the tensor-to-scalar ratio $r$ is as small as $0.01$.

27 pages, 2 figures

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• Evolution of vacuum fluctuations generated during and before inflation
• Infrared divergences for free quantum fields in cosmological spacetimes
• de Sitter duality and logarithmic decay of dark energy
• The Gibbons-Hawking radiation of gravitons in the Poincaré and static patches of de Sitter spacetime
• Secular Terms in Dyson Series to All-Orders of Perturbation
• Entropy Generation at the Horizon Diffuses Cosmological Constant in 2D de Sitter Space
• Is cosmological constant screened in Liouville gravity with matter?
• 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