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Haag as a How-To Theorem

Freeborn, David Peter Wallis and Gilton, Marian and Mitsch, Chris (2023) Haag as a How-To Theorem. [Preprint]

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Abstract

Haag's theorem is a classic no-go theorem. It rigorously demonstrates there is a logical problem with the interaction picture (IP), one of the most widely used modeling tools in quantum field theory (QFT). The significance of the theorem for the use of the IP in QFT has been the subject of long-running debate, focused around how ``worried'' we should be. In this paper, we argue for an alternative and opposite perspective on Haag's theorem, rejecting the `worry' framing in favor of emphasizing the no-go theorem's implications for model development.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Freeborn, David Peter Wallisdfreebor@uci.edu0000-0002-2117-8145
Gilton, Marianmarian.gilton@pitt.edu0000-0002-5468-8918
Mitsch, Chriscmitsch@uci.edu0000-0003-2502-4343
Keywords: Quantum field theory, no go theorems, Haag's theorem, Arrow's theorem, social choice theory, modeling, philosophy of physics
Subjects: Specific Sciences > Physics > Fields and Particles
General Issues > History of Philosophy of Science
Specific Sciences > Physics
Specific Sciences > Physics > Quantum Field Theory
Depositing User: David Freeborn
Date Deposited: 10 May 2023 12:36
Last Modified: 10 May 2023 12:36
Item ID: 22087
Subjects: Specific Sciences > Physics > Fields and Particles
General Issues > History of Philosophy of Science
Specific Sciences > Physics
Specific Sciences > Physics > Quantum Field Theory
Date: 9 May 2023
URI: https://philsci-archive.pitt.edu/id/eprint/22087

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