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Perturbative Expansions and the Foundations of Quantum Field Theory

Fraser, James D. and Rejzner, Kasia (2023) Perturbative Expansions and the Foundations of Quantum Field Theory. [Preprint]

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Abstract

Perturbative expansions have played a peculiarly central role in quantum field theory, not only in extracting empirical predictions but also in investigations of the theory's mathematical and conceptual foundations. This paper brings the special status of QFT perturbative expansions into focus by tracing the history of mathematical physics work on perturbative QFT and situating a contemporary approach, perturbative algebraic QFT, within this historical context. Highlighting the role that perturbative expansions have played in foundational investigations helps to clarify the relationships between the formulations of QFT developed in mathematical physics and high-energy phenomenology.

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Item Type: Preprint
Creators:
CreatorsEmailORCID
Fraser, James D.fraser@uni-wuppertal.de
Rejzner, Kasiakasia.rejzner@york.ac.uk
Keywords: Quantum Field Theory, Perturbation Theory, History of Physics
Subjects: General Issues > History of Science Case Studies
Specific Sciences > Physics
Specific Sciences > Physics > Quantum Field Theory
Depositing User: Mr James Fraser
Date Deposited: 28 Nov 2023 02:54
Last Modified: 28 Nov 2023 02:54
Item ID: 22798
Subjects: General Issues > History of Science Case Studies
Specific Sciences > Physics
Specific Sciences > Physics > Quantum Field Theory
Date: 15 November 2023
URI: https://philsci-archive.pitt.edu/id/eprint/22798

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