Talk:Weinberg-Witten theorem
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The Weinberg-Witten theorem has absolutely nothing to do with renormalization... Phys 20:11, 18 September 2005 (UTC)
I do not understand why you claim this. In the abstract of the Weinberg-Witten paper they claim in the abstract that they are proving the non-existence of massless fields (composite or real) for j > 1 for theories that are renormalisable and have a Lorentz covariant energy-momentum tensor. It seems that renormalisability is very important to the proof of the theorems.
There is a similar statement that j>3/2 is impossible for a fundumental particle. As discussed in Weinberg's book The quantum theory of fields, Vol 1, page 243 that this statement can be wrong (he uses Kulza-Klein modes as a counter-example). The problems here occur in a semi-classical limit and can restrict the form of interactions, but does not show j>3/2 is impossible.
