Quantum Cosmology Near Two Dimensions

@article{Bautista2016QuantumCN,
  title={Quantum Cosmology Near Two Dimensions},
  author={Teresa Bautista and Atish Dabholkar},
  journal={Physical Review D},
  year={2016},
  volume={94},
  pages={044017}
}
We consider a Weyl-invariant formulation of gravity with a cosmological constant in $d$-dimensional spacetime and show that near two dimensions the classical action reduces to the timelike Liouville action. We show that the renormalized cosmological term leads to a nonlocal quantum momentum tensor which satisfies the Ward identities in a nontrivial way. The resulting evolution equations for an isotropic, homogeneous universe lead to slowly decaying vacuum energy and power-law expansion. We… 

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