Haag's theorem and its implications for the foundations of quantum field theory

Erkenntnis 64 (3):305 - 344 (2006)

Authors
Doreen Fraser
University of Waterloo
John Earman
University of Pittsburgh
Abstract
Although the philosophical literature on the foundations of quantum field theory recognizes the importance of Haag’s theorem, it does not provide a clear discussion of the meaning of this theorem. The goal of this paper is to make up for this deficit. In particular, it aims to set out the implications of Haag’s theorem for scattering theory, the interaction picture, the use of non-Fock representations in describing interacting fields, and the choice among the plethora of the unitarily inequivalent representations of the canonical commutation relations for free and interacting fields.
Keywords Philosophy   Logic   Ethics   Ontology   Epistemology   Philosophy
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Reprint years 2006
DOI 10.1007/s10670-005-5814-y
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References found in this work BETA

An Interpretative Introduction to Quantum Field Theory.Paul Teller - 1996 - British Journal for the Philosophy of Science 47 (1):152-153.
Interpreting Quantum Field Theory.Laura Ruetsche - 2002 - Philosophy of Science 69 (2):348-378.
Weyling the Time Away: The Non-Unitary Implementability of Quantum Field Dynamics on Curved Spacetime.Aristidis Arageorgis, John Earman & Laura Ruetsche - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (2):151-184.

View all 10 references / Add more references

Citations of this work BETA

Taking Particle Physics Seriously: A Critique of the Algebraic Approach to Quantum Field Theory.David Wallace - 2011 - 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.
How to Take Particle Physics Seriously: A Further Defence of Axiomatic Quantum Field Theory.Doreen Fraser - 2011 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 42 (2):126-135.
A New Look at Emergence. Or When After is Different.Alexandre Guay & Olivier Sartenaer - 2016 - European Journal for Philosophy of Science 6 (2):297-322.

View all 28 citations / Add more citations

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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.
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Algebraic Quantum Field Theory.Hans Halvorson & Michael Mueger - 2006 - In J. Butterfield & J. Earman (eds.), Handbook of the philosophy of physics. Kluwer Academic Publishers.

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