Against Field Interpretations of Quantum Field Theory

I examine some problems standing in the way of a successful `field interpretation' of quantum field theory. The most popular extant proposal depends on the Hilbert space of `wavefunctionals.' But since wavefunctional space is unitarily equivalent to many-particle Fock space, two of the most powerful arguments against particle interpretations also undermine this form of field interpretation. IntroductionField Interpretations and Field OperatorsThe Wavefunctional InterpretationFields and Inequivalent Representations 4.1. The Rindler representation 4.2. Spontaneous symmetry breaking 4.3. Coherent representations The Fate of Fields in Interacting QFTConclusions
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DOI 10.1093/bjps/axp027
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References found in 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.
John Earman & John Norton (1987). What Price Spacetime Substantivalism? The Hole Story. British Journal for the Philosophy of Science 38 (4):515-525.

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Richard Healey (2013). Physical Composition. Studies in History and Philosophy of Science Part B 44 (1):48-62.
L. A. Paul (2013). Categorical Priority and Categorical Collapse. Aristotelian Society Supplementary Volume 87 (1):89-113.

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