Haag’s Theorem and its Implications for the Foundations of Quantum Field Theory

Erkenntnis 64 (3):305 - 344 (2006)
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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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Author Profiles

Doreen Fraser
University of Waterloo
John Earman
University of Pittsburgh

Citations of this work

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The Real Problem with Perturbative Quantum Field Theory.James D. Fraser - 2020 - British Journal for the Philosophy of Science 71 (2):391-413.

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References found in this work

An Interpretative Introduction to Quantum Field Theory.Paul Teller - 1996 - British Journal for the Philosophy of Science 47 (1):152-153.
Curie’s Principle and spontaneous symmetry breaking.John Earman - 2004 - International Studies in the Philosophy of Science 18 (2 & 3):173 – 198.
Interpreting quantum field theory.Laura Ruetsche - 2002 - Philosophy of Science 69 (2):348-378.

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