Particles, Cutoffs and Inequivalent Representations
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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.
KeywordsAlgebraic quantum field theory Particle physics Renormalization Unitarily inequivalent representations
VL is grateful to the Swiss National Science Foundation for financial support (Project No. 169313).
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