Scaling Behaviour of Conformal Fields in Curved Three-dimensional Space
Research Report 98-1
To appear in Physics Letters B
Date: December 12, 1997
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.
conformal fields. renormalisation. three dimensions. curved manifolds.
AMS Subject Classification (1991)
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Sydney Mathematics and Statistics