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Phys. Rev. D 55, 4770–4784 (1997)

Physical states of the quantum conformal factor

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Ignatios Antoniadis
Centre de Physique Théorique, Ecole Polytechnique, 91128 Palaiseau, France

Pawel O. Mazur
Department of Physics and Astronomy, University of South Carolina, Columbia, South Carolina 29208

Emil Mottola
Theoretical Division, T-8, Mail Stop B285, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

Received 2 October 1995; revised 3 October 1996; published in the issue dated 15 April 1997

The conformal factor of the spacetime metric becomes dynamical due to the trace anomaly of matter fields. Its dynamics is described by an effective action which we quantize by canonical methods on the Einstein universe R×S3. We find an infinite tower of discrete states which satisfy the constraints of quantum diffeomorphism invariance. These physical states are in one-to-one correspondence with operators constructed by integrating integer powers of the Ricci scalar.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.55.4770
DOI:
10.1103/PhysRevD.55.4770
PACS:
04.60.Ds, 11.30.Ly