New Developments in the Eight Vertex Model

Details New Developments in the Eight Vertex Model New Developments in the Eight Vertex Model

2002-07-08

arxiv.org/abs/cond-mat/0207177v3

J.Statist.Phys. 111 (2003) 323

Physics

Condensed Matter

Statistical Mechanics

12 pages. Final version which will be published in J. Stat. Phys

Scientific paper

We demonstrate that the Q matrix introduced in Baxter's 1972 solution of the
eight vertex model has some eigenvectors which are not eigenvectors of the spin
reflection operator and conjecture a new functional equation for Q(v) which
both contains the Bethe equation that gives the eigenvalues of the transfer
matrix and computes the degeneracies of these eigenvalues.

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