A recursion formula for the correlation functions of an inhomogeneous XXX model
High Energy Physics - Theory
2007-05-23 v3 Statistical Mechanics
Mathematical Physics
math.MP
Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0405044,
title = {A recursion formula for the correlation functions of an inhomogeneous XXX model},
author = {H. Boos and M. Jimbo and T. Miwa and F. Smirnov and Y. Takeyama},
journal= {arXiv preprint arXiv:hep-th/0405044},
year = {2007}
}
Comments
37 pages, 1 figure, Proof of Lemma 4.8 modified