Scaling Behaviour of Conformal Fields in Curved Three-dimensional Space

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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12p. Latex, One reference added, To appear in Physics Letters B

Scientific paper

10.1016/S0370-2693(98)00085-9

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.

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