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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.

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