Free field construction for the eight-vertex model: representation for form factors

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 pages, plain TeX, uses PiCTeX macros. Minor misprints corrected

Scientific paper

10.1016/S0550-3213(01)00598-3

The free field realization of the eight-vertex model is extended to form factors. It is achieved by constructing off-diagonal with respect to the ground state sectors matrix elements of the $\Lambda$ operator which establishes a relation between corner transfer matrices of the eight-vertex model and of the SOS model. As an example, the two-particle form factor of the $\sigma^z$ operator is evaluated explicitly.

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