  We have used the results of renormalization of a two-dimensional quantum
stress tensor to develop a conformally invariant dynamical model. The model
requires the consideration of those conformal frames in which there exists a
correspondence between the trace anomaly and a cosmological constant. We apply
this model to a two dimensional-Schwarzschild (-de Sitter) spacetime to show
that in these conformal frames one may achieve Hawking radiation without
recourse to the trace anomaly .
