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We show in this letter that gravity coupled to a massless scalar field withfull cylindrical symmetry can be exactly quantized by an extension of thetechniques used in the quantization of Einstein-Rosen waves. This systemprovides a useful testbed to discuss a number of issues in quantum generalrelativity such as the emergence of the classical metric, microcausality, andlarge quantum gravity effects. It may also provide an appropriate framework tostudy gravitational critical phenomena from a quantum point of view, issuesrelated to black hole evaporation, and the consistent definition of test fieldsand particles in quantum gravity.Comment: Accepted for publication in Physical Review Letter

Exact Quantization of Einstein-Rosen Waves Coupled to Massless Scalar Matter