Creation/annihilation operators and form factors of the XXZ model

Hitoshi Konno

Herman E. Boos, M. Jimbo, T. Miwa +2 more

S. PAKULIAK

The annihilation poles for the form factors in the XXZ model are studied using vertex operators introduced in Ref. 1. An annihilation pole is the property of form factors according to which the residue of the 2n-particle form factor in such a pole can be expressed through linear combination of the (2n−2)-particle form factors. To prove this property we use the bosonization of the vertex operators in the XXZ model which was invented in Ref. 2.

Tetsuji Miwa

This review is based on the joint work by Herman Boos, Michio Jimbo, Fedor Smirnov, Yishihiro Takeyama and T. M. We present an exponential formula for the correlation functions of the XXZ model. The formula is given in terms of a kind of monodromy operators in the sense of the quantum inverse scattering method. The opertors satisfy anti-commutation relations, and acting on the space of quasi-local operators as annihilation operators. Construction of creation operators is also given.

Christopher Witte