Probing Quantized Einstein-Rosen Waves with Massless Scalar Matter

Abstract

The purpose of this paper is to discuss in detail the use of scalar matter coupled to linearly polarized Einstein-Rosen waves as a probe to study quantum gravity in the restricted setting provided by this symmetry reduction of general relativity. We will obtain the relevant Hamiltonian and quantize it with the techniques already used for the purely gravitational case. Finally we will discuss the use of particle-like modes of the quantized fields to operationally explore some of the features of quantum gravity within this framework. Specifically we will study two-point functions, the Newton-Wigner propagator, and radial wave functions for one-particle states.

Accepted for publication in Physical Review D

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• Matter in inhomogeneous loop quantum cosmology: the Gowdy $T^3$ model
• Cylindrical gravitational waves in expanding universes: Models for waves from compact sources
• Quantum Einstein-Rosen waves: Coherent states and n-point functions
• Classical and quantum behavior of dynamical systems defined by functions of solvable Hamiltonians