Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature

Subhajit Goswami
Subhajit Goswami
Aran Raoufi
Aran Raoufi

Communications in Mathematical Physics, pp. 891-921, 2019.

Cited by: 1|Views2
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Abstract:

The truncated two-point function of the ferromagnetic Ising model on ${\mathbb {Z}}^d$ ($d\ge 3$) in its pure phases is proven to decay exponentially fast throughout the ordered regime ($\beta >\beta _c$ and $h=0$). Together with the previously known results, this implies that the exponential clustering property holds throughout t...More

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