Marginal triviality of the scaling limits of critical 4D Ising and $\phi_4^4$ models

Aizenman Michael
Aizenman Michael
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Abstract:

We prove that the scaling limits of spin fluctuations in four-dimensional Ising-type models with nearest-neighbor ferromagnetic interaction at or near the critical point are Gaussian. A similar statement is proven for the $\lambda \phi^4$ fields over $\mathbb{R}^4$ with a lattice ultraviolet cutoff, in the limit of infinite volume and v...More

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