1993/07/10 by Thomas T. Burwick
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1016/0550-3213(94)90247-x
published as Nucl.Phys. B418 (1994) 257-277 · 22 pages (phyzzx.tex, figures available by mail upon request), SLAC-PUB 6274 T
arxiv created 1993/07/10 · openalex publication_date 1994/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31
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 an 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.