An Evolution Equation Approach to the Klein-Gordon Operator on Curved Spacetime
Mathematical Physics
2019-05-15 v4 Analysis of PDEs
Functional Analysis
math.MP
Abstract
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.
Cite
@article{arxiv.1709.03911,
title = {An Evolution Equation Approach to the Klein-Gordon Operator on Curved Spacetime},
author = {Jan Dereziński and Daniel Siemssen},
journal= {arXiv preprint arXiv:1709.03911},
year = {2019}
}
Comments
44 pages