Geodesic
Theory of Wightman functions in the thirring model
Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 361-370

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Some properties of the solution of the Thirring model obtained in the earlier papers [1,2] are discussed. The Thirring field acts in the Fock space of a free scalar field of zero mass. The Wightman functions are found explicitly. It is shown that in the limit $\mu\to0$ the gauge symmetries of the model, which are spontaneously broken for $\mu\ne0$, are restored, and the field acquires a definite spin and scale dimension. The correspondence with the $2n$-point functions of Klaibe's solution is established. It is shown that for integral and half-integral values of the spin the usual connection between spin and statistics arises. 
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     author = {D. Ts. Stoyanov and L. K. Khadzhiivanov},
     title = {Theory of {Wightman} functions in the thirring model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {46},
     number = {3},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a9/}
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D. Ts. Stoyanov; L. K. Khadzhiivanov. Theory of Wightman functions in the thirring model. Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 361-370. http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a9/