Abstract
This essay touches on a number of topics in philosophy of quantum field theory from the point of view of the LSZ asymptotic approach to scattering theory. First, particle/field duality is seen to be a property of free field theory and not of interacting QFT. Second, it is demonstrated how LSZ side-steps the implicationsof Haag's theorem. Finally, a recent argument due to Redhead (1995), Malament (1996) and Arageorgis (1995) against the concept of localized particle states is addressed. Briefly, the argument observes thatthe Reeh–Schlieder theorem entails that correlations between spacelike separatedvacuum expectation values of local field operators are always present,and this, according to the above authors, dictates against the notion of a localizedparticle state. I claim that this moral is excessive and that a coherentnotion of localized particles is given by the LSZ approach. The underlyingmoral to be drawn from this analysis is that questions concerning theontology of interacting QFT cannot be appropriately addressed if one restrictsoneself to the free theory.
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Bain, J. Against Particle/Field Duality: Asymptotic Particle States And Interpolating Fields In Interacting Qft (Or: Who's Afraid Of Haag's Theorem?). Erkenntnis 53, 375–406 (2000). https://doi.org/10.1023/A:1026482100470
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DOI: https://doi.org/10.1023/A:1026482100470