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Perin, Marco (2022) Categorical Aspects of Algebraic Quantum Field Theory. PhD thesis, University of Nottingham.

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Abstract

The aim of this work is to introduce and investigate 3 distinct problems in Algebraic Quantum Field Theory whose solution relies on (higher) multicategorical methods. More precisely, we will discuss a model-independent comparison between Algebraic Quantum Field Theory and Factorization Algebras, a 2-categorical notion of algebraic quantum field theory more sensitive to global aspects of gauge theories than previous approaches and a ``smoothness axiom'' for algebraic quantum field theories encoding ``smooth responses of observable algebras'' to ``smooth variations of spacetimes''.

Item Type:	Thesis (University of Nottingham only) (PhD)
Supervisors:	Schenkel, Alexander
Keywords:	AQFT, algebraic quantum field theory, Factorization algebras
Subjects:	Q Science > QA Mathematics > QA150 Algebra Q Science > QA Mathematics > QA440 Geometry
Faculties/Schools:	UK Campuses > Faculty of Science > School of Mathematical Sciences
Item ID:	71595
Depositing User:	Perin, Marco
Date Deposited:	14 Dec 2022 04:40
Last Modified:	14 Dec 2022 04:40
URI:	https://eprints.nottingham.ac.uk/id/eprint/71595

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