An Evolution Equation Approach to the Klein-Gordon Operator on Curved Spacetime
Jan Dereziński, Daniel Siemssen
September 12, 2017
We develop a theory of the Klein-Gordon equation on curved spacetimes. Our main tool is the method of (non-autonomous) evolution equations on Hilbert spaces. This approach allows us to treat low regularity of the metric, of the electromagnetic potential and of the scalar potential. Our main goal is a construction of various kinds of propagators needed in quantum field theory.
Keywords:Klein-Gordon, evolution operator