The esperable uberty of quantum chromodynamics
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Defending eliminative structuralism and a whole lot more (or less)
2019, Studies in History and Philosophy of ScienceUnitary inequivalence as a problem for structural realism
2012, Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern PhysicsCitation Excerpt :If, however, it is non-Abelian, then the statistics in the superselection sectors arising from the composition of a given type of charge may be described either in terms of parastatistics, where the order of the paraparticle corresponds to the dimension of the irreducible representation of the gauge group in the charge 1-sector, or in terms of standard statistics, with hidden elements added – thus extending the observable algebra – and the non-Abelian part of the gauge group is understood as an internal symmetry of this extended algebra (Haag, 1992, p. 155). This latter option was taken by Han and Nambu when they introduced colour in the quark case (see French, 1995). If the background is that of 2- or 3-dimensional space–time then the picture becomes less straightforward: one has to substitute the braid group for the permutation group and quantum groups, for example, for gauge groups and one obtains the famous ‘anyon’ statistics, among others (Haag, 1992, pp. 192–197; Halvorson & Müger, 2006, pp. 131–133; for a brief consideration of this in the context of issues to do with particle identity, see French, 2000).
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