For large n, spin-spin correlations in O(n)-invariant reflection-positive quantum spin models decay exponentially in space-time distance for every d ≥ 1.
Biskup,Reflection Positivity and Phase Transitions in Lattice Spin Models, in R
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Exponential decay in $O(n)$-invariant quantum spin systems
For large n, spin-spin correlations in O(n)-invariant reflection-positive quantum spin models decay exponentially in space-time distance for every d ≥ 1.