On the Construction of Correlation Functions for the Integrable Supersymmetric Fermion Models

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dc.creatorZhao, Shao-You
dc.creatorYang, Wen-Li
dc.creatorZhang, Yao-Zhong
dc.date2006-01-11
dc.date2006-04-05
dc.date.accessioned2026-07-07T10:45:40Z
dc.date.available2026-07-07T10:45:40Z
dc.descriptionWe 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.
dc.descriptionLatex file, 42 pages. Invited review article for Int. J. Mod. Phys. B; V2: Two references added, mionor typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0601065
dc.identifierhttp://arxiv.org/abs/hep-th/0601065
dc.identifierInt.J.Mod.Phys.B20:505-550,2006
dc.identifierdoi:10.1142/S0217979206033383
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182985
dc.subjectHigh Energy Physics - Theory
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleOn the Construction of Correlation Functions for the Integrable Supersymmetric Fermion Models
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