# 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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