I am looking for an introductory textbook on QFT in curved space-time via the path integral method. I want to understand the following:
- How to build a generic perturbative QFT in curved space-time
- Are there some specific difficulties with normalization
- How to derive observables / particle states in curved space-time
- The Unruh effect
- The Hawking radiation
I would appreciate if the author would use path integrals instead of the canonical formalism when possible. The reason for this is purely aesthetic.