Unitary inequivalence as a problem for structural realism

Abstract
Howard argues that the existence of unitarily inequivalent representations in Quantum Field Theory presents a problem for structural realism in this context. I consider two potential ways round this problem: 1), follow Wallace in adopting the 'naive' Lagrangian form of QFT with cut-offs; 2), adapt Ruetsche's 'Swiss Army Knife' approach. The first takes us into the current debate between Wallace and Fraser on conventional vs. algebraic QFT. The second involves consideration of the role of inequivalent representations in understanding spontaneous symmetry breaking and quantum statistics. In both cases, I suggest, the structural realist has sufficient room to manoeuvre
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DOI 10.1016/j.shpsb.2011.09.001
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References found in this work BETA
What is Structural Realism?J. Ladyman - 1998 - Studies in History and Philosophy of Science Part A 29 (3):409-424.
The “Structure” of Physics.Jill North - 2009 - Journal of Philosophy 106 (2):57-88.
The Fate of 'Particles' in Quantum Field Theories with Interactions.Doreen Fraser - 2007 - Studies in History and Philosophy of Science Part B 39 (4):841-859.

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Citations of this work BETA
Entities Without Intrinsic Physical Identity.Vincent Lam - 2014 - Erkenntnis 79 (5):1157-1171.
The Entanglement Structure of Quantum Field Systems.Vincent Lam - 2013 - International Studies in the Philosophy of Science 27 (1):59 - 72.

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A Matter of Degree: Putting Unitary Inequivalence to Work.Laura Ruetsche - 2003 - Philosophy of Science 70 (5):1329-1342.

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