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arXiv · hep-th/9307074

All-Order Quantum Gravity in Two Dimensions

Thomas T. Burwick
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Abstract

We derive curvature counterterms in two-dimensional gravity coupled to conformal matter up to infinite order. By construction the higher-order action is equivalent to a finite first-order theory with auxiliary scalar. Due to this equivalence it shares the following remarkable properties: There is no need for gravitational dressing of the cosmological constant, quantization is consistent for any conformal anomaly $c$ of the coupled matter system, and if the coupled matter system is a $c=d~$-dimensional string theory in a Euclidean background then the effective string theory is $D=d+2~$-dimensional with Minkowski signature $(1,D-1)$. The resulting quantum theory favours flat geometries and suppresses both parabolic and hyperbolic singularities.

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Thomas T. Burwick. 1993-07-10. All-Order Quantum Gravity in Two Dimensions. https://doi.org/10.1016/0550-3213(94)90247-x

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