Particles, Cutoffs and Inequivalent Representations: Fraser and Wallace on Quantum Field Theory

Foundations of Physics 47 (3):453-466 (2017)
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Abstract

We critically review the recent debate between Doreen Fraser and David Wallace on the interpretation of quantum field theory, with the aim of identifying where the core of the disagreement lies. We show that, despite appearances, their conflict does not concern the existence of particles or the occurrence of unitarily inequivalent representations. Instead, the dispute ultimately turns on the very definition of what a quantum field theory is. We further illustrate the fundamental differences between the two approaches by comparing them both to the Bohmian program in quantum field theory.

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Author Profiles

Andrea Oldofredi
University of Lisbon
Vincent Lam
University of Bern

References found in this work

Quantum Mechanics on Spacetime I: Spacetime State Realism.David Wallace & Christopher Gordon Timpson - 2010 - British Journal for the Philosophy of Science 61 (4):697-727.
Taking particle physics seriously: A critique of the algebraic approach to quantum field theory.David Wallace - 2010 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 42 (2):116-125.
The fate of 'particles' in quantum field theories with interactions.Doreen Fraser - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (4):841-859.
Against Field Interpretations of Quantum Field Theory.David John Baker - 2009 - British Journal for the Philosophy of Science 60 (3):585-609.

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