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nLab > Latest Changes: Wightman axioms

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  1.  
    • CommentRowNumber1.
    • CommentAuthorIan_Durham
    • CommentTimeMar 13th 2010
    I filled in a bit on the Wightman axioms. I also have a query there about adding an "axiom" environment to the LaTeX/CSS style sheets of nLab. I don't know how to do it on nLab but an axiom environment seems like it might be useful.
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 15th 2010

    Thanks!

    I have expanded the Idea-section a bit.

    • CommentRowNumber3.
    • CommentAuthorTim_van_Beek
    • CommentTimeMar 15th 2010
    Thanks from me too.
    I'd like to have an "axiom" environment too, and I would like to reference single axioms in the text, is there a different way than to use the "+-- {: .num_theorem #nameGoesHere}" tag?

    Two questions to the content, first a trivial one:
    "...assignment of field operators to points..."
    As far as I know you can prove in the Haag-Kastler approach that the algebras associated with points are necessarily trivial, so no point has nontrivial observables, is that correct? I still plan to cite a corresponding theorem on the Haag-Kastler page, as soon as I find the time.

    "They were later further abstracted to the Haag-Kastler axioms..."
    All I know about the equivalence of this approach comes from a paper that dates back to 1992, from Borchers and Yngvason, dedicated to Haag's 70th birthday. If there is a better reference I'd like to know (I think any kid in Göttingen knows more about this than me :-).
    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMar 15th 2010
    • (edited Mar 15th 2010)

    I don't know about how to create a new environment. We have to shout for help for that with the Lab elves. When I need an environment that isn't there I usually take one that is there and then change its displayed keyword (the one that goes after the sequence of five or so hash/sharp signs) to be what I want it to be.

    Concerning the two technical questions: that may well be true. I'd need to check details here, too.

  5. Corrected a small typo in the scalar field example — at the end, the Klein-Gordon operator should be box+m 2\box + m^2, rather than box+m\box + m. The square was missing on the mass.

    Cheers! Marko Vojinovic

    Anonymous

    diff, v25, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMar 30th 2023

    added proper publication data to this item:

    diff, v26, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJul 29th 2024
    • (edited Jul 29th 2024)

    added pointer to:

    • Garth Warner: Quantum Field Theory Seminar (School of Wightman et al.), seminar notes, University of Washington [pdf]

    diff, v27, current

1 to 7 of 7

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