Scaling Behaviour of Conformal Fields in Curved Three-dimensional Space


George Tsoupros


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.

Key phrases

conformal fields. renormalisation. three dimensions. curved manifolds.

AMS Subject Classification (1991)

Primary: 1038
Secondary: 751X


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