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

Statistical Mechanics 2007-10-09 v3 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.0705.3569,
  title  = {A note on the spin-1/2 XXZ chain concerning its relation to the Bose gas},
  author = {Alexander Seel and Tanaya Bhattacharyya and Frank Göhmann and Andreas Klümper},
  journal= {arXiv preprint arXiv:0705.3569},
  year   = {2007}
}

Comments

continued in 0710.1814 math-ph