Geodesic
On quantum $L$-operator for two-dimensional lattice Toda model
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 22, Tome 398 (2012), pp. 87-99

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The two-dimensional quantum lattice Toda model for the affine and simple Lie algebras of the type A is considered. For its known $L$-operator a correction of the second order in the lattice parameter $\varepsilon$ is found. It is proved that the equation determining a correction of the third order in $\varepsilon$ has no solutions. 
@article{ZNSL_2012_398_a4,
     author = {A. G. Bytsko and I. Yu. Davydenkova},
     title = {On quantum $L$-operator for two-dimensional lattice {Toda} model},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {87--99},
     publisher = {mathdoc},
     volume = {398},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a4/}
}
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A. G. Bytsko; I. Yu. Davydenkova. On quantum $L$-operator for two-dimensional lattice Toda model. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 22, Tome 398 (2012), pp. 87-99. http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a4/