Classical states, quantum field measurement

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Referee this paper: arXiv:1709.06711 by Peter Morgan

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Additionally to the abstract on the paper itself, the following:

Fairly formally, I construct the Lie algebra of globally U(1) invariant observables of the free quantized Dirac spinor field, call it D, starting from a commuting raising and lowering algebra, call it B (instead of the usual process of starting from an anti-commuting raising and lowering algebra, call it F). So we have D⊂B as well as the usual D⊂F. Something of a surprise that this is possible, even more that it takes only a few lines in the notation I use, but once that's done the usual vacuum state over D, which of course has an extension over F, can also be extended to act over B (here, trivially), with the resulting state having properties that to me seem striking. The more-or-less classicality that emerges is the least of the transformation of how we can think about fermion fields.
I will mention that the notation I use in the paper might be offputtingly novel, however it has a moderately principled motivation as the use of intrinsic vector methods in the test function space (which for free fields is equipped with a pre-inner product), which I have found and I commend it to you as a very rewarding way to think about quantum field theory.

requested Sep 21, 2017
summarized
paper authored Sep 20, 2017 to quant-ph
edited Sep 21, 2017

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