Freeborn, David Peter Wallis and Gilton, Marian and Mitsch, Chris (2023) How Haag-tied is QFT, really? [Preprint]
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Abstract
Haag's theorem cries out for explanation and critical assessment: it sounds the alarm that something is (perhaps) not right in one of the standard way of constructing interacting fields to be used in generating predictions for scattering experiments. Viewpoints as to the precise nature of the problem, the appropriate solution, and subsequently-called-for developments in areas of physics, mathematics, and philosophy differ widely. In this paper, we develop and deploy a conceptual framework for critically assessing these disparate responses to Haag's theorem. Doing so reveals the driving force of more general questions as to the nature and purpose of foundational work in physics.
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| Item Type: | Preprint | ||||||||||||
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| Keywords: | quantum field theory, haag's theorem, no go theorems, AQFT, LQFT, CQFT, perturbation theory, interaction picture, philosophy of physics, physics, quantum physics, quantum theory, quantum fields, standard model, particle physics, philosophy of particle physics, mathematical methods, modelling | ||||||||||||
| Subjects: | Specific Sciences > Physics > Fields and Particles General Issues > Models and Idealization Specific Sciences > Physics Specific Sciences > Physics > Quantum Field Theory |
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| Depositing User: | David Freeborn | ||||||||||||
| Date Deposited: | 03 Jan 2024 20:52 | ||||||||||||
| Last Modified: | 15 Jan 2024 23:59 | ||||||||||||
| Item ID: | 22879 | ||||||||||||
| Subjects: | Specific Sciences > Physics > Fields and Particles General Issues > Models and Idealization Specific Sciences > Physics Specific Sciences > Physics > Quantum Field Theory |
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| Date: | December 2023 | ||||||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/22879 |
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How Haag-tied is QFT, really? (deposited 14 Dec 2022 15:31)
- How Haag-tied is QFT, really? (deposited 03 Jan 2024 20:52) [Currently Displayed]
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