Asymptotics of even-even correlations in the Ising model

Abstract

We consider finite-range ferromagnetic Ising models on ${\mathbb{Z}}^d$ in the regime $\beta <{\beta }_c$. We analyze the behavior of the prefactor to the exponential decay of $\mathrm{Cov}({\sigma }_A,{\sigma }_B)$, for arbitrary finite sets $A$ and $B$ of even cardinality, as the distance between $A$ and $B$ diverges.

arXiv commentChanged section numbering to match the published version

References in corpus (5)

• Ornstein-Zernike Theory for the finite range Ising models above T_c
• Fluctuation theory of connectivities for subcritical random cluster models
• Crossing random walks and stretched polymers at weak disorder
• Potts models with a defect line
• Sharp Asymptotics for the Truncated Two-Point Function of the Ising Model with a Positive Field

Cited by in corpus (7)

• Sharp Asymptotics for the Truncated Two-Point Function of the Ising Model with a Positive Field
• Invariance principle for a Potts interface along a wall
• Dipole Ordering of Water Molecules in Cordierite: Monte Carlo Simulations
• On the two-point function of the Potts model in the saturation regime
• Asymptotics of correlations in the Ising model: a brief survey
• Entropic repulsion and scaling limit for a finite number of non-intersecting subcritical FK interfaces
• Ornstein-Zernike behavior for Ising models with infinite-range interactions