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2019 An evolution equation approach to the Klein–Gordon operator on curved spacetime
Jan Dereziński, Daniel Siemssen
Pure Appl. Anal. 1(2): 215-261 (2019). DOI: 10.2140/paa.2019.1.215

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.

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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

Information

Received: 16 October 2018; Revised: 8 February 2019; Accepted: 6 March 2019; Published: 2019
First available in Project Euclid: 14 May 2019

zbMATH: 07079479
MathSciNet: MR3949374
Digital Object Identifier: 10.2140/paa.2019.1.215

Subjects:
Primary: 35L05 , 47D06
Secondary: 58J45 , 81Q10 , 81T20

Keywords: evolution equation , Klein–Gordon equation , Klein–Gordon operator , propagator , Quantum field theory , quantum field theory in curved spacetimes

Rights: Copyright © 2019 Mathematical Sciences Publishers

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