Quantum Einstein-Rosen waves: Coherent states and n-point functions

Understand

We discuss two different types of issues concerning the quantization of Einstein-Rosen waves.

• First of all we study in detail the possibility of using the coherent states corresponding to the dynamics of the auxiliary, free Hamiltonian appearing in the description of the model to study the full dynamics of the system.
• For time periods of arbitrary length we show that this is only possible for states that are close, in a precise mathematical sense, to the vacuum.
• We do this by comparing the quantum evolutions defined by the auxiliary and physical Hamiltonians on the class of coherent states.