Quantum Aspects of Nonlocal Approach to the Cosmological Constant Problem

Abstract

We have recently presented a manifestly local and general coordinate invariant formulation of a nonlocal approach to the cosmological constant problem which has been proposed by Carroll and Remmen. In this article, based on our formulation, we investigate some quantum aspects of this approach to the cosmological constant problem. In particular, we explicitly evaluate quantum effects to the effective cosmological constant from matter fields at one-loop level, and show that the effective cosmological constant receives radiative corrections and is not stable against quantum corrections so that it must be fine-tuned at every stage in the loop expansion. Next, we will propose a new scale-invariant model of a nonlocal approach to the cosmological constant problem, and show explicitly that in this new model the effective cosmological constant is indeed stable against radiative corrections.

arXiv commentA model in Section 5 is modified

References in corpus (16)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• On Renormalization Group Flows in Four Dimensions
• Conformal Symmetry and the Standard Model
• Classically Conformal B-L extended Standard Model
• Sakharov's induced gravity: a modern perspective
• Sequestering the Standard Model Vacuum Energy
• A Manifestly Local Theory of Vacuum Energy Sequestering
• Vacuum Energy Sequestering: The Framework and Its Cosmological Consequences
• 'The End'
• Vacuum Energy Sequestering and Graviton Loops
• Classically Scale-invariant B-L Model and Conformal Gravity
• Classically Scale-invariant B-L Model and Dilaton Gravity
• A Nonlocal Approach to the Cosmological Constant Problem
• Topological Induced Gravity
• Manifestly Local Formulation of Nonlocal Approach to the Cosmological Constant Problem

Cited by in corpus (5)

• Revival of the Deser-Woodard nonlocal gravity model: Comparison of the original nonlocal form and a localized formulation
• Space-time second-quantization effects and the quantum origin of cosmological constant in covariant quantum gravity
• Weinberg's No Go Theorem in Quantum Gravity
• More on Weinberg's No Go Theorem in Quantum Gravity
• Cosmic Acceleration in the Nonlocal Approach to the Cosmological Constant Problem