Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-01-11
Int.J.Mod.Phys.B20:505-550,2006
Physics
High Energy Physics
High Energy Physics - Theory
Latex file, 42 pages. Invited review article for Int. J. Mod. Phys. B; V2: Two references added, mionor typos corrected
Scientific paper
10.1142/S0217979206033383
We review the recent progress on the construction of the determinant representations of the correlation functions for the integrable supersymmetric fermion models. The factorizing $F$-matrices (or the so-called $F$-basis) play an important role in the construction. In the $F$-basis, the creation (and the annihilation) operators and the Bethe states of the integrable models are given in completely symmetric forms. This leads to the determinant representations of the scalar products of the Bethe states for the models. Based on the scalar products, the determinant representations of the correlation functions may be obtained. As an example, in this review, we give the determinant representations of the two-point correlation function for the $\gl$ (i.e. q-deformed) supersymmetric t-J model. The determinant representations are useful for analysing physical properties of the integrable models in the thermodynamical limit.
Yang Wen-Li
Zhang Yao-Zhong
Zhao Shao-You
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