Mitsch, Chris and Gilton, Marian and Freeborn, David Peter Wallis (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
Creators:	Creators Email ORCID Mitsch, Chris cmitsch@uci.edu 0000-0003-2502-4343 Gilton, Marian marian.gilton@pitt.edu 0000-0002-5468-8918 Freeborn, David Peter Wallis dfreebor@uci.edu 0000-0002-2117-8145
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
Depositing User:	David Freeborn
Date Deposited:	07 Apr 2024 05:07
Last Modified:	07 Apr 2024 05:07
Item ID:	23270
Subjects:	Specific Sciences > Physics > Fields and Particles General Issues > Models and Idealization Specific Sciences > Physics Specific Sciences > Physics > Quantum Field Theory
Date:	December 2023
URI:	https://philsci-archive.pitt.edu/id/eprint/23270

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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)
    • How Haag-tied is QFT, really? (deposited 07 Apr 2024 05:07) [Currently Displayed]

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