N-point Correlation Functions of the Spin-1 XXZ Model

Details N-point Correlation Functions of the Spin-1 XXZ Model N-point Correlation Functions of the Spin-1 XXZ Model

1993-07-19

arxiv.org/abs/hep-th/9307124v2

Nucl.Phys. B417 (1994) 439-462

Physics

High Energy Physics

High Energy Physics - Theory

23 pages (Minor mistake in N-point fn. formula corrected)

Scientific paper

10.1016/0550-3213(94)90480-4

We extend the recent approach of M. Jimbo, K. Miki, T. Miwa, and A. Nakayashiki to derive an integral formula for the N-point correlation functions of arbitrary local operators of the antiferromagnetic spin-1 XXZ model. For this, we realize the quantum affine symmetry algebra $U_q(su(2)_2)$ of level 2 and its corresponding type I vertex operators in terms of a deformed bosonic field free of a background charge, and a deformed fermionic field. Up to GSO type projections, the Fock space is already irreducible and therefore no BRST projections are involved. This means that no screening charges with their Jackson integrals are required. Consequently, our N-point correlation functions are given in terms of usual classical integrals only, just as those derived by Jimbo et al in the case of the spin-1/2 XXZ model through the Frenkel-Jing bosonization of $U_q(su(2)_1)$.

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