Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field

Details Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field

2002-01-08

arxiv.org/abs/hep-th/0201045v1

Nucl.Phys.B641:487-518,2002

Physics

High Energy Physics

High Energy Physics - Theory

34 pages

Scientific paper

10.1016/S0550-3213(02)00583-7

Using algebraic Bethe ansatz and the solution of the quantum inverse scattering problem, we compute compact representations of the spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field. At lattice distance m, they are typically given as the sum of m terms. Each term n of this sum, n = 1,...,m is represented in the thermodynamic limit as a multiple integral of order 2n+1; the integrand depends on the distance as the power m of some simple function. The root of these results is the derivation of a compact formula for the multiple action on a general quantum state of the chain of transfer matrix operators for arbitrary values of their spectral parameters.

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