Finite Size Formula in the XYZ Spin Chain

Details Finite Size Formula in the XYZ Spin Chain Finite Size Formula in the XYZ Spin Chain

1998-09-09

arxiv.org/abs/hep-th/9809058v1

Physics

High Energy Physics

High Energy Physics - Theory

14pages, LaTeX2e file, uses psfrag

Scientific paper

The XYZ spin chain with boundaries is studied. We construct the vacuum state by the vertex operators in the level one modules of the elliptic algebra, and compact it through a geometric symmetry of the model called the turning symmetry. From this simplified expression the ``finite size formula'' for magnetizations in the bounded and in the half-infinite chains is deduced. Applying this formula we calculate the spontaneous magnetization in the bounded XYZ model.

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