Abstract
Field equations for generalized principal chiral models with non-constant metric and their possible Lax formulation are considered. Ansatz for Lax operators is taken linear in currents. Results of a complete investigation of models allowing Lax formulation with linear ansatz for Lax operators on solvable 2- and 3-dimensional groups are given; all such models appear to be almost linear. Also models on simple groupSU(2) with diagonal metric are considered; it turns out that Lax formulation exists in this case for constant metrics only.
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This work was partially supported by grant No. 1929/2001 of Fund for Development of Higher Education.
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Šnobl, L., Hlavatý, L. Principal chiral models with non-constant metric. Czech J Phys 51, 1441–1446 (2001). https://doi.org/10.1023/A:1013307127978
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DOI: https://doi.org/10.1023/A:1013307127978