Quantum Dilaton Gravity in Two Dimensions with Fermionic Matter

Abstract

Path integral quantization of generic two-dimensional dilaton gravity non-minimally coupled to a Dirac fermion is performed. After integrating out geometry exactly, perturbation theory is employed in the matter sector to derive the lowest order gravitational vertices. Consistency with the case of scalar matter is found and issues of relevance for bosonisation are pointed out.

27 pages, 3 figures, v2: final version, added references, sec. 2 partially rewritten, some amendments, to be published in Class. Quant. Grav