ONE-LOOP RENORMALIZATION IN 2-DIMENSIONAL MATTER DILATON QUANTUM-GRAVITY AND CHARGED BLACK-HOLES

The quantum properties of two-dimensional matter-dilaton gravity - whi ch includes a large family of actions for two-dimensional gravity (in particular, string-inspired models) - are investigated. The one-loop d ivergences in linear covariant gauges are calculated and the structure of the one-loop renormalization is studied. The explicit forms of the dilaton potential, dilaton-Maxwell, and dilaton-scalar couplings for which the theory is one-loop multiplicatively renormalizable are found . A comparison with the one-loop renormalization structure of four-dim ensional gravity-matter theory is given. Charged multiple-horizon blac k holes which appear in the model are also considered.