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Haag's Theorem and Its Implications for the Foundations of Quantum Field Theory

Earman, John and Fraser, Doreen (2005) Haag's Theorem and Its Implications for the Foundations of Quantum Field Theory. [Preprint]

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Abstract

Although the philosophical literature on the foundations of quantum field theory recognizes the importance of Haag's theorem, it does not provide a clear discussion of the meaning of this theorem. The goal of this paper is to make up for this deficit. In particular, it aims to set out the implications of Haag's theorem for scattering theory, the interaction picture, the use of non-Fock representations in describing interacting fields, and the choice among the plethora of the unitarily inequivalent representations of the canonical commutation relations for free and interacting fields.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Earman, John
Fraser, Doreen
Additional Information: Forthcoming in Erkenntnis
Keywords: quantum field theory; Haag's theorem
Subjects: Specific Sciences > Physics > Quantum Field Theory
Depositing User: Doreen Fraser
Date Deposited: 19 Mar 2006
Last Modified: 07 Oct 2010 15:13
Item ID: 2673
URI: http://philsci-archive.pitt.edu/id/eprint/2673

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