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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Main Author: Perin, Marco
Format: Thesis (University of Nottingham only)
Language:English
Published: 2022
Subjects:
Online Access:https://eprints.nottingham.ac.uk/71595/
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author Perin, Marco
author_facet Perin, Marco
author_sort Perin, Marco
building Nottingham Research Data Repository
collection Online Access
description 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''.
first_indexed 2025-11-14T20:55:17Z
format Thesis (University of Nottingham only)
id nottingham-71595
institution University of Nottingham Malaysia Campus
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language English
last_indexed 2025-11-14T20:55:17Z
publishDate 2022
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spelling nottingham-715952022-12-14T04:40:15Z https://eprints.nottingham.ac.uk/71595/ Categorical Aspects of Algebraic Quantum Field Theory Perin, Marco 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''. 2022-12-14 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en cc_by https://eprints.nottingham.ac.uk/71595/1/nottsthesis-test-full.pdf Perin, Marco (2022) Categorical Aspects of Algebraic Quantum Field Theory. PhD thesis, University of Nottingham. AQFT algebraic quantum field theory Factorization algebras
spellingShingle AQFT
algebraic quantum field theory
Factorization algebras
Perin, Marco
Categorical Aspects of Algebraic Quantum Field Theory
title Categorical Aspects of Algebraic Quantum Field Theory
title_full Categorical Aspects of Algebraic Quantum Field Theory
title_fullStr Categorical Aspects of Algebraic Quantum Field Theory
title_full_unstemmed Categorical Aspects of Algebraic Quantum Field Theory
title_short Categorical Aspects of Algebraic Quantum Field Theory
title_sort categorical aspects of algebraic quantum field theory
topic AQFT
algebraic quantum field theory
Factorization algebras
url https://eprints.nottingham.ac.uk/71595/