Erkenntnis

, 64:305 | Cite as

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

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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.

Keywords

Interaction Picture Canonical Commutation Relation Wightman Function Inequivalent Representation Relativistic Quantum Field Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Department of History and Philosophy and ScienceUniversity of PittsburghPittsburghUSA

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