# Decay of Correlations in 2D Quantum Systems with Continuous Symmetry

@article{Benassi2016DecayOC, title={Decay of Correlations in 2D Quantum Systems with Continuous Symmetry}, author={Costanza Benassi and J{\"u}rg Fr{\"o}hlich and Daniel Ueltschi}, journal={Annales Henri Poincar{\'e}}, year={2016}, volume={18}, pages={2831-2847} }

We study a large class of models of two-dimensional quantum lattice systems with continuous symmetries, and we prove a general McBryan–Spencer–Koma–Tasaki theorem concerning algebraic decay of correlations. We present applications of our main result to the Heisenberg, Hubbard, and t-J models, and to certain models of random loops.

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