Is cosmological constant screened in Liouville gravity with matter?

Abstract

There has been a proposal that infrared quantum effects of massless interacting field theories in de-Sitter space may provide time-dependent screening of the cosmological constant. As a concrete model of the proposal, we study the three loop corrections to the energy-momentum tensor of massless $\lambda {\varphi }^4$ theory in the background of classical Liouville gravity in $D=2$ dimensional de-Sitter space. We find that the cosmological constant is screened in sharp contrast to the massless $\lambda {\varphi }^4$ theory in $D=4$ dimensions due to the sign difference between the cosmological constant of the Liouville gravity and that of the Einstein gravity. To argue for the robustness of our prediction, we introduce the concept of time-dependent infrared counter-terms and examine if they recover the de-Sitter invariance in the $\lambda {\varphi }^4$ theory in comparison with the Sine-Gordon model where it was possible.

28 pages, 7 eps figures

References in corpus (8)

• Cosmological Dark Energy: Prospects for a Dynamical Theory
• Reply to `Can infrared gravitons screen $\Lambda$?'
• Infrared Propagator Corrections for Constant Deceleration
• IR divergence does not affect the gauge-invariant curvature perturbation
• Can infrared gravitons screen $\Lambda$?
• Time Dependent Couplings as Observables in de Sitter Space
• Quantum gravity and the cosmological constant: lessons from two-dimensional dilaton gravity
• Eternal Inflation with Liouville Cosmology

Cited by in corpus (2)

• Entropy Generation at the Horizon Diffuses Cosmological Constant in 2D de Sitter Space
• Dilaton, Screening of the Cosmological Constant and IR-Driven Inflation