Interpreting quantum field theory

Philosophy of Science 69 (2):348-378 (2002)
The availability of unitarily inequivalent representations of the canonical commutation relations constituting a quantization of a classical field theory raises questions about how to formulate and pursue quantum field theory. In a minimally technical way, I explain how these questions arise and how advocates of the Hilbert space and of the algebraic approaches to quantum theory might answer them. Where these answers differ, I sketch considerations for and against each approach, as well as considerations which might temper their apparent rivalry.
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Steven French (2012). Unitary Inequivalence as a Problem for Structural Realism. Studies in History and Philosophy of Science Part B 43 (2):121-136.
David Baker (2009). Against Field Interpretations of Quantum Field Theory. British Journal for the Philosophy of Science 60 (3):585-609.
Giovanni Valente (2008). John Von Neumann's Mathematical “Utopia” in Quantum Theory. Studies in History and Philosophy of Science Part B 39 (4):860-871.

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