Correlation functions of Ising spins on thin graphs

Piotr Bialas; Andrzej K. Oleś

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arXiv · 1104.4030

Correlation functions of Ising spins on thin graphs

Piotr Bialas·Andrzej K. Oleś

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Abstract

We investigate analytically and numerically an Ising spin model with ferromagnetic coupling defined on random graphs corresponding to Feynman diagrams of a $ϕ^q$ field theory, which exhibits a mean field phase transition. We explicitly calculate the correlation functions both in the symmetric and in the broken symmetry phase in the large volume limit. They agree with the results for finite size systems obtained from Monte Carlo simulations.

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Piotr Bialas, Andrzej K. Oleś. 2011-04-20. Correlation functions of Ising spins on thin graphs. https://arxiv.org/abs/1104.4030

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