Abstract
We develop a theory of the Klein–Gordon equation on curved spacetimes. Our main tool is the method of (nonautonomous) 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.
Citation
Jan Dereziński. Daniel Siemssen. "An evolution equation approach to the Klein–Gordon operator on curved spacetime." Pure Appl. Anal. 1 (2) 215 - 261, 2019. https://doi.org/10.2140/paa.2019.1.215
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