Different Aspects of Relativistic Toda Chain

Details Different Aspects of Relativistic Toda Chain Different Aspects of Relativistic Toda Chain

1996-12-09

arxiv.org/abs/hep-th/9612094v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 14 pages

Scientific paper

We demonstrate that the generalization of the relativistic Toda chain (RTC) is a special reduction of two-dimensional Toda Lattice hierarchy (2DTL). We also show that the RTC is gauge equivalent to the discrete AKNS hierarchy and the unitary matrix model. Relativistic Toda molecule hierarchy is also considered, along with the forced RTC. The simple approach to the discrete RTC hierarchy based on Darboux-B\"acklund transformation is proposed.

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