A note on the spin-1/2 XXZ chain concerning its relation to the Bose gas

Details A note on the spin-1/2 XXZ chain concerning its relation to the Bose gas A note on the spin-1/2 XXZ chain concerning its relation to the Bose gas

2007-05-24

arxiv.org/abs/0705.3569v3

J. Stat. Mech. (2007) P08030

Physics

Condensed Matter

Statistical Mechanics

continued in 0710.1814 math-ph

Scientific paper

10.1088/1742-5468/2007/08/P08030

By considering the one-particle and two-particle scattering data of the
spin-1/2 Heisenberg chain at T=0 we derive a continuum limit relating the spin
chain to the 1D Bose gas. Applying this limit to the quantum transfer matrix
approach of the Heisenberg chain we obtain expressions for the correlation
functions of the Bose gas at arbitrary temperatures.

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