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Title	Feynman Propagators and the Self-Adjointness of the Kleinâ Gordon Operator
Creator	Siemssen, Daniel
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-07-30T10:05
Description	The Feynman propagator is at the heart of quantum field theory. However, in quantum field theory in curved spacetimes, no locally covariant notion of a distinguished Feynman propagator exists. Instead, often a distinguished class of Feynman propagators is considered, which share a common parametrix. Nevertheless, certain classes of spacetimes possess distinguished Feynman propagators. First, I will give an in-depth introduction to propagators (Green functions) on curved spacetimes and their role in quantum field theory. In particular, I will highlight the importance of the so-called Hadamard states â an appropriate generalization of the Poincaré invariant vacuum state. Then, I will show that the free Kleinâ Gordon field on asymptotically static spacetimes comes equipped with a natural Feynman propagator (albeit globally constructed and generally not related to a state). Finally, I will argue that this Feynman propagator is closely related to the question of the self-adjointness of the Kleinâ Gordon operator on $L^2$(spacetime) and the boundary value of its resolvent.
Extent	22.0
Subject	Mathematics Quantum theory Functional analysis Mathematical physics
Geographic Location	Banff (Alta.)
Type	Moving Image
FileFormat	video/mp4
Language	eng
Notes	Author affiliation: University of Wuppertal
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-14
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376879
URI	http://hdl.handle.net/2429/68713
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
AggregatedSourceRepository	DSpace

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