An Evolution Equation Approach to the Klein-Gordon Operator on Curved Spacetime
classification
🧮 math-ph
math.APmath.FAmath.MP
keywords
approachcurvedequationevolutionklein-gordonmainpotentialtheory
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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.
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