Short distance correlators in the XXZ spin chain for arbitrary string distributions

@article{Mestyan2014ShortDC,
  title={Short distance correlators in the XXZ spin chain for arbitrary string distributions},
  author={M'arton Mesty'an and Bal{\'a}zs Pozsgay},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2014},
  volume={2014},
  pages={09020}
}
  • M. Mesty'an, B. Pozsgay
  • Published 1 May 2014
  • Mathematics, Physics
  • Journal of Statistical Mechanics: Theory and Experiment
In this paper, we consider expectation values of local correlators in highly excited states of the spin-1/2 XXZ chain. Assuming that the string hypothesis holds we formulate the following conjecture: The correlation functions can be computed using the known factorized formulae of the finite temperature situation, if the building blocks are computed via certain linear integral equations using the string densities only. We prove this statement for the nearest neighbour z–z correlator for states… 

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