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.
open access link
%%% contains utf-8, see: http://inspirehep.net/info/faq/general#utf8 %%% add \usepackage[utf8]{inputenc} to your latex preamble @article{Derezinski:2017hvk, author = "Dereziński, Jan and Siemssen, Daniel", title = "{An Evolution Equation Approach to the Klein-Gordon Operator on Curved Spacetime}", year = "2017", eprint = "1709.03911", archivePrefix = "arXiv", primaryClass = "math-ph", SLACcitation = "%%CITATION = ARXIV:1709.03911;%%" }

Keywords: 
Klein-Gordon, evolution operator