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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 3rd 2017
    • (edited Dec 21st 2017)

    I am starting Wick algebra. So far I have an Idea-section, references, and a discussion of the finite dimensional case, showing how the traditional “normal ordered Wick product” is the Moyal star product of an almost-Kähler vector space.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 3rd 2017
    • (edited Aug 3rd 2017)

    I have now added also the relevant infrastructure and then the definition of the Wick algebra of free scalar fields on any globally hyperbolic spacetime: here.

    In the course of this I have split off some related entries, such as causal propagator, Hadamard distribution, microcausal functional. These still need polishing/expansion, for instance addition of references. More later.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 21st 2017

    I have improved the writeup at Wick algebra of the section For finite-dimensional linear phase spaces a little, by doing more justice to the underlying complex geometry.

    Then I tried to make an overview table Wick algebra – table and included it into relevant entries.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJan 5th 2018

    I have been bringing the Definition section into shape.