Physical States of the Quantum Conformal Factor

Details Physical States of the Quantum Conformal Factor Physical States of the Quantum Conformal Factor

1995-09-28

arxiv.org/abs/hep-th/9509169v1

Phys.Rev. D55 (1997) 4770-4784

Physics

High Energy Physics

High Energy Physics - Theory

PlainTeX File, 34 pages

Scientific paper

10.1103/PhysRevD.55.4770

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 $R\times S^3$. 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.

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