  The limitations of three-dimensional semi-classical gravity are explored in
the context of a conformally invariant theory for a self-interacting scalar
field. The analysis of the theory's scaling behaviour reveals that scalar-loop
effects contribute to the conformal anomaly only at advanced orders allowing
for a range of relevant energy scales which extend to those comparable to the
non-perturbative scale of Planck mass.

General Relativity and Quantum Cosmology