The University of Queensland

Centre for Mathematical Physics

SEMINAR

Speaker: Shao-You Zhao, Mathematics, UQ

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

10am, Thursday 11^th May, 2006

Priestley Blding, room 140

Abstract:

In this talk, 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 correlation functions for the supersymmetric t-J model. The determinant representations are useful for analysing physical properties of the integrable models in the thermodynamic limit.

This a joint work with Wen-Li Yang and Yao-Zhong Zhang.

All interested are invited to attend.

Enquiries to Katrina Hibberd email: keh@maths.uq.edu.au