Correlation functions of the XXZ Heisenberg spin-$\frac1 2$ chain in a magnetic field - INSPIRE

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Correlation functions of the XXZ Heisenberg spin- $\frac1 2$ chain in a magnetic field

2000

29 pages

Published in:

Nucl.Phys.B 567 (2000) 554-582

Published: 2000

e-Print:

math-ph/9907019 [math-ph]

DOI:

10.1016/S0550-3213(99)00619-7

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Abstract: (Elsevier)

Using the algebraic Bethe ansatz method, and the solution of the quantum inverse scattering problem for local spins, we obtain multiple integral representations of the n -point correlation functions of the XXZ Heisenberg spin- 1 2 chain in a constant magnetic field. For zero magnetic field, this result agrees, in both the massless and massive (anti-ferromagnetic) regimes, with the one obtained from the q-deformed KZ equations (massless regime) and the representation theory of the quantum affine algebra U q ( sl ̂ 2 ) together with the corner transfer matrix approach (massive regime).

75.10.Jm
11.30.Na
03.65.Fd
71.45.G
Integrable models
Correlation functions

References(46)

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