Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Forgot your password?
• Apply for membership

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeAug 3rd 2017
   • (edited Dec 21st 2017)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI 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.

   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.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeAug 3rd 2017
   • (edited Aug 3rd 2017)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI 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](https://ncatlab.org/nlab/show/Wick+algebra#ForFreeFieldsOnCurvedSpacetime). 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.

   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.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeDec 21st 2017
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have improved the writeup at _[[Wick algebra]]_ of the section _[For finite-dimensional linear phase spaces](https://ncatlab.org/nlab/show/Wick+algebra#ForFiniteDimensionalLinearPhaseSpaces)_ 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.

   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.

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJan 5th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have been bringing the _[Definition section](https://ncatlab.org/nlab/show/Wick+algebra#Definition)_ into shape.

   I have been bringing the Definition section into shape.