Categorical Aspects of Algebraic Quantum Field Theory

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

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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

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