TRACE ANOMALY AND NONLOCAL EFFECTIVE ACTION FOR 2-D CONFORMALLY INVARIANT SCALAR INTERACTING WITH DILATON

Using the results of the calculation of the one-loop effective action (E. Elizalde et al., Phys. Rev. D49, 2852 (1994)), we find the trace a nomaly for most general conformally invariant 2-D dilaton coupled scal ar-dilaton system (the contribution of dilaton itself is included). Th e nonlocal effective action induced by conformal anomaly for such syst em is found. That opens new possibilities in generalizing of CGHS-like model for the study of back-reaction of matter to 2-D black holes.