Quantum theory of electromagnetic fields in a cosmological quantum spacetime

Understand

The theory of quantum fields propagating on an isotropic cosmological quantum spacetime is reexamined by generalizing the scalar test field to an electromagnetic (EM) vector field.

• For any given polarization of the EM field on the classical background, the Hamiltonian can be written in the form of the Hamiltonian of a set of decoupled harmonic oscillators, each corresponding to a single mode of the field.
• In transition from the classical to quantum spacetime background, following the technical procedure given by Ashtekar {\em et al.} [Phys.
• Rev.