Geodesic
Explicitly integrable models of quantum field theory with exponential interaction in two-dimensional space
Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 3, pp. 358-373 
A. N. Leznov; I. A. Fedoseev. Explicitly integrable models of quantum field theory with exponential interaction in two-dimensional space. Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 3, pp. 358-373. http://geodesic.mathdoc.fr/item/TMF_1982_53_3_a3/
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     author = {A. N. Leznov and I. A. Fedoseev},
     title = {Explicitly integrable models of quantum field theory with exponential interaction in two-dimensional space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {358--373},
     year = {1982},
     volume = {53},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_53_3_a3/}
}
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Explicit expressions are obtained for the Heisenberg operators of the two-dimensional models of quantum field theory described by the system of equations $\square u_\alpha=g\exp(ku)_\alpha$ as functionals of asymptotic fields $\varphi_\alpha^\mathrm{in}$ satisfying the equations $\square\varphi_\alpha^\mathrm{in}=0$ and appropriate commutation relations. It is shown that in the presence of a finite-dimensional internal symmetry group, when $k$ is the Caftan matrix of a semisimple Lie group, the perturbation series for the operators $\exp(-u_\alpha)$ degenerate into polynomials in the coupling constant $g$, the degrees of the polynomials being related to the structure of the fundamental representations of the corresponding group.

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