Geodesic
Algebraic structure of local field theory with finite-fold vacuum degeneracy
Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 3, pp. 305-317 
A. N. Vasil'ev. Algebraic structure of local field theory with finite-fold vacuum degeneracy. Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 3, pp. 305-317. http://geodesic.mathdoc.fr/item/TMF_1969_1_3_a0/
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     url = {http://geodesic.mathdoc.fr/item/TMF_1969_1_3_a0/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that the Wightman functional satisfying not only the usual axiomatic requirements but also an additional requirement that the vacuum subspace of the representation generated byiL be finite-dimensional is representable, and uniquely so, in the form of a mixture of pure functionals each of which corresponds to the unique-vacuum theory.

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