Interpreting Quantum Field Theories

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I have defended the view that an interpretation of QFT should be based on a rigorous axiomatic variant of the theory. There are two significant objections to this position: (1) that no realistic model of any set of axioms has ever been constructed (i.e., not for any interacting system in four spacetime dimensions) and (2) that there is nothing to be gained from pursuing the axiomatic program for QFT. In the course of defending myself from these objections, I will discuss some of the recent literature on constructing models for interacting systems.


A presentation at the Philosophy of Quantum Field Theory Workshop, which was held at The University of Western Ontario on April 24-26, 2009

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