Geodesic
Quantum field theory with non-Fock asymptotic fields: the existence of the $S$-matrix
Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 1, pp. 25-39 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct a family of relativistic-invariant generating functionals of the form $$F(f^*,g)=\exp\left\{\gamma\int\frac{d\mathbf k}{\omega(\mathbf k)}f^*(\mathbf k)g(\mathbf k)\right\}$$ for the non-Fock representations of the CCR. We analyze the first order in the coupling constant of the model theory. In this theory, the asymptotic in field coincides with the field $\varphi(x)$ corresponding to such a functional. We prove that in the first order, the in and out fields are unitarily equivalent and the scattering matrix consequently exists. Moreover, the kinematics of the “non-Fock quantum field theory” is much richer than the standard kinematics: in this case, the $S$-matrix does not coincide with the chronologically ordered exponent of the interaction Lagrangian. 
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     author = {O. I. Zavialov and A. M. Malokostov},
     title = {Quantum field theory with {non-Fock} asymptotic fields: the existence of the $S$-matrix},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {25--39},
     year = {1999},
     volume = {121},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_121_1_a2/}
}
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O. I. Zavialov; A. M. Malokostov. Quantum field theory with non-Fock asymptotic fields: the existence of the $S$-matrix. Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 1, pp. 25-39. http://geodesic.mathdoc.fr/item/TMF_1999_121_1_a2/

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