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arXiv · 0802.3952

Delta Expansion on the Lattice and Dilated Scaling Region

Hirofumi Yamada
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Abstract

A new kind of delta expansion is applied on the lattice to the d=2 non-linear sigma model at N=infinity and N=1 which corresponds to the Ising model. We introduce the parameter delta for the dilation of the scaling region of the model with the replacement of the lattice spacing a to (1-delta)^{1/2}a. Then, we demonstrate that the expansion in delta admits an approximation of the scaling behavior of the model at both limits of N from the information at a large lattice spacing a.

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Hirofumi Yamada. 2008-02-27. Delta Expansion on the Lattice and Dilated Scaling Region. https://doi.org/10.1103/physrevd.76.045007

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