Title	Functorial quantization of linear field theory
Creator	Oeckl, Robert
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-06-08T17:21
Description	Working towards the aim of axiomatizing realistic quantum field theories in a TQFT-type framework we focus on the simplest class of examples: linear field theories and their perturbation theory. In order to understand quantization it turns out to be useful to introduce an axiomatization of classical field theory also, on manifolds with boundary. We show how geometric quantization together with the Feynman path integral then leads to a quantization functor from (augmented) classical field theories to quantum field theories. We discuss scope, applications, limitations and future directions of this approach.
Extent	37 minutes
Subject	Mathematics; Category theory; homological algebra; Quantum theory; Mathematical physics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universidad Nacional Autónoma de México
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-12-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0361543
URI	http://hdl.handle.net/2429/63833
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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