Quantum spin correlations and random loops

  title={Quantum spin correlations and random loops},
  author={Daniel Ueltschi},
  journal={arXiv: Mathematical Physics},
  • Daniel Ueltschi
  • Published 2014
  • Physics, Mathematics
  • arXiv: Mathematical Physics
  • We review the random loop representations of Toth and Aizenman-Nachtergaele for quantum Heisenberg models. They can be combined and extended so as to include the quantum XY model and certain SU(2)-invariant spin 1 systems. We explain the calculations of correlation functions.