Making the gravitational path integral more Lorentzian, or: Life beyond Liouville gravity
arXiv:hep-th/9910232 · doi:10.1016/S0920-5632(00)00776-3
Abstract
In two space-time dimensions, there is a theory of Lorentzian quantum gravity which can be defined by a rigorous, non-perturbative path integral and is inequivalent to the well-known theory of (Euclidean) quantum Liouville gravity. It has a number of appealing features: i) its quantum geometry is non-fractal, ii) it remains consistent when coupled to matter, even beyond the c=1 barrier, iii) it is closer to canonical quantization approaches than previous path-integral formulations, and iv) its construction generalizes to higher dimensions.
4 pages, 2 figures (postscript), uses espcrc2.sty