Solutions to a Quantal Gravity-Matter Field Theory on a Line
Roman Jackiw
Abstract
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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