QUANTUM FUNCTIONAL INTEGRATION OF NON-EINSTEINIAN GRAVITY IN d=2

Abstract

Complete integrability of R2 gravity with dynamical torsion in d=2 is also found in the quantum case, provided the light cone gauge is chosen. In our present work the path integral is derived from a covariant canonical and a canonical BRS approach. In the latter case and in that particular gauge all quantum effects — including Faddeev-Popov ghosts — vanish within the most simple topological setting which emphasizes local properties only. In the covariant canonical approach and with respect to a previous all-order perturbative analysis, the results are found to differ only by a counterterm.