A recursion formula for the correlation functions of an inhomogeneous XXX model

Details A recursion formula for the correlation functions of an inhomogeneous XXX model A recursion formula for the correlation functions of an inhomogeneous XXX model

2004-05-06

arxiv.org/abs/hep-th/0405044v3

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 1 figure, Proof of Lemma 4.8 modified

Scientific paper

A new recursion formula is presented for the correlation functions of the integrable spin 1/2 XXX chain with inhomogeneity. It relates the correlators involving n consecutive lattice sites to those with n-1 and n-2 sites. In a series of papers by V. Korepin and two of the present authors, it was discovered that the correlators have a certain specific structure as functions of the inhomogeneity parameters. Our formula allows for a direct proof of this structure, as well as an exact description of the rational functions which has been left undetermined in the previous works.

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