LMS Durham Symposium: Geometry, Conformal Field Theory and String Theory

Professor Fedor Smirnov (Jussieu, Université Paris 6)

Correlation functions for lattice exactly solvable models.

Abstract:

I shall discuss recent progress in calculation of correlation functions for integrable spin chains. I shall mostly consider the case of isotropic XXX model giving some comments on unisotropic XXZ and XYZ cases. The main object of my study will be the density matrix of finite sub-chain of infinite anti-ferromagnetic chain being in the ground state. Our recent works (with H.Boos, M.Jimbo, T.Miwa, Y.Takeyama) provide a simple and elegant formula for this density matrix. Explication of this formula will be the main goal of my talk.

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