Bethe Equations "on the Wrong Side of Equator"

Details Bethe Equations "on the Wrong Side of Equator" Bethe Equations "on the Wrong Side of Equator"

1998-08-25

arxiv.org/abs/hep-th/9808153v2

J.Phys.A32:2333-2340,1999

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, original paper was spoiled during transmission

Scientific paper

10.1088/0305-4470/32/12/007

We analyse the famous Baxter's $T-Q$ equations for $XXX$ ($XXZ$) spin chain and show that apart from its usual polynomial (trigonometric) solution, which provides the solution of Bethe-Ansatz equations, there exists also the second solution which should corresponds to Bethe-Ansatz beyond $N/2$. This second solution of Baxter's equation plays essential role and together with the first one gives rise to all fusion relations.

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