Haag's theorem and its implications for the foundations of quantum field theory

Erkenntnis 64 (3):305 - 344 (2006)
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.
Keywords Philosophy   Logic   Ethics   Ontology   Epistemology   Philosophy
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DOI 10.2307/20013399
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References found in this work BETA
Laura Ruetsche (2002). Interpreting Quantum Field Theory. Philosophy of Science 69 (2):348-378.

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Citations of this work BETA
Doreen Fraser (2008). The Fate of 'Particles' in Quantum Field Theories with Interactions. Studies in History and Philosophy of Science Part B 39 (4):841-859.
Jonathan Bain (2011). Quantum Field Theories in Classical Spacetimes and Particles. Studies in History and Philosophy of Science Part B 42 (2):98-106.

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