Solutions to a Quantal Gravity-Matter Field Theory on a Line

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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11 pages, RevTeX

Scientific paper

10.1016/S0920-5632(97)00364-2

Solutions to a scalar-tensor (dilaton) quantum gravity theory, interacting with quantized matter, are described. Dirac quantization is frustrated by quantal anomalies in the constraint algebra. Progress is made only after the Wheeler--DeWitt equation is modified by quantal terms, which eliminate the anomaly. More than one modification is possible, resulting in more than one `physical' spectrum in the quantum theory, corresponding to the given classical model.

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