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Is the functor covariant, or contravariant (as it would be in the case of a sheaf)? It perhaps looks like the former, from what is said (restriction maps are rarely going to be injective). But I think we should be told.
I'm somewhat unsatisfied with this article but don't know how to proceed. So I'll start on the discussion pages (in fact I added a link before I got my user account and did a small change on QFT, BTW thanks for sp and fmt).
The entry doesn't read as physics but as pure mathematics. Of course an axiomatic approach has a strong mathematical side, but there's something beyond.
The entry has only the objective side of AQFT, what is IMHO missing are motives, successes, failures relative standing compared to other approaches. Any feedback whether this would be OK to add? Then I'll try to do it.
That is completely the wrong tag (technical tag) for asking for improvements on content (which would probably make the article more technical anyway). I removed it. --C S (talk) 07:32, 27 April 2009 (UTC)[reply]
Also, how does one "pull an action back" to the target category, when the action is defined on the domain category? This does not make any sense, though an equivalent notion could be developed if the functor were an equivalence of categories. Regrettably, it is not. The Poincare covariance axiom is not well explained in this article and should be reformulated. Haag's famous paper from the 60s would do nicely as a source. myrkkyhammas 18:40, 2 March 2007
The list of researches at the end along with links to their websites seems promotional to me. So I plan to cut down the list to those researchers who are notable as evidenced by an article on them at WP. --Mark viking (talk) 20:58, 20 February 2014 (UTC)[reply]
The page is written in the language of category theory. I suggest that many people who would be interested in the Haag-Kastler axioms don't speak that language.
FWIW, Haag and Kastler did not present their axioms in the language of category theory.
Somebody more expert in AQFT than I should explain what "the net" and "net monomorphism" refer to. My general sense is that an AQFT defines an allowed set of states on a "net of algebras" but it should pointed out just what that net is before the term is used. There is a monomorphism referred to earlier, maybe that's the net monomorphism, but then this should be stated. Hope someone can do this!
The following is a closed discussion of a requested move. Please do not modify it. Subsequent comments should be made in a new section on the talk page. Editors desiring to contest the closing decision should consider a move review after discussing it on the closer's talk page. No further edits should be made to this discussion.
result: Moved. See below concern expressed but no official opposition. The nom, editor STEMster42, as well as editor Polyamorph have solidified their arguments, so this request is granted. Thanks and kudos to editors for your input; everyone stay healthy!P.I. Ellsworth , ed.put'r there19:10, 28 December 2022 (UTC)[reply]
With the Google Scholar links you see most of the references for Local AQFT are much older than than Algebraic QFT ones which reflects how the terminology has changed. STEMster42 (talk) 15:19, 20 December 2022 (UTC)[reply]
The discussion above is closed. Please do not modify it. Subsequent comments should be made on the appropriate discussion page. No further edits should be made to this discussion.