Categorical Aspects of Algebraic Quantum Field Theory
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...
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| Format: | Thesis (University of Nottingham only) |
| Language: | English |
| Published: |
2022
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| Online Access: | https://eprints.nottingham.ac.uk/71595/ |
| Summary: | 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''. |
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