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- W2953337905 abstract "The lace expansion has been a powerful tool for investigating mean-field behavior for various stochastic-geometrical models, such as self-avoiding walk and percolation, above their respective upper-critical dimension. In this paper, we prove the lace expansion for the Ising model that is valid for any spin-spin coupling. For the ferromagnetic case, we also prove that the expansion coefficients obey certain diagrammatic bounds that are similar to the diagrammatic bounds on the lace-expansion coefficients for self-avoiding walk. As a result, we obtain Gaussian asymptotics of the critical two-point function for the nearest-neighbor model with d>>4 and for the spread-out model with d>4 and L>>1, without assuming reflection positivity." @default.
- W2953337905 created "2019-06-27" @default.
- W2953337905 creator A5052455821 @default.
- W2953337905 date "2005-10-29" @default.
- W2953337905 modified "2023-09-27" @default.
- W2953337905 title "Lace expansion for the Ising model" @default.
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