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

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.

11 pages, RevTeX

Cited by in corpus (8)

• Free fields via canonical transformations of matter-coupled 2D dilaton gravity models
• Two-Dimensional Dilaton-Gravity Coupled to Massless Spinors
• Generalized symmetries and invariant matter couplings in two-dimensional dilaton gravity
• A solution to the zero-hamiltonian problem in 2-D gravity
• An effective Hamiltonian for 2D black hole Physics
• Diffeomorphism algebra of two dimensional free massless scalar field with signature change
• The anomaly-free quantization of two-dimensional relativistic string. I
• Schwinger terms in gravitation in two dimensions as a consequence of the gravitational anomaly