Finite Size Formula in the XYZ Spin Chain
Abstract
Description
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.
14pages, LaTeX2e file, uses psfrag
14pages, LaTeX2e file, uses psfrag