Quantum Field Theory on Curved Backgrounds

Understand

We review the status of (scalar) quantum field theory on curved spacetimes using a novel formulation in terms of non linear functionals over the smooth configuration fields.

• In particular, this entails also a new foundation of locally covariant classical field theory.
• For all that, methods from microlocal analysis combined with some methods from global analysis, namely differentiation on locally convex spaces, and category theory are crucially employed.