Quantum field theory on LQC Bianchi spacetimes

Understand

Quantum theory of a scalar field is developed on the LQC Bianchi I space-time.

• By comparing the the quantum field theory for a single mode on classical and quantum background geometries we find that an effective Bianchi I space-time emerges.
• We show that by disregarding the back-reaction no Lorentz-violation is present, despite the effective metric being different than the classical Bianchi I one.