Continuum scaling in expansions effective at a large lattice spacing

Details Continuum scaling in expansions effective at a large lattice spacing Continuum scaling in expansions effective at a large lattice spacing

2008-11-13

arxiv.org/abs/0811.2037v1

J.Phys.G36:025001,2009

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, 21 figures. to be published in J. Phys. G

Scientific paper

10.1088/0954-3899/36/2/025001

A new class of truncation schemes of delta expansion on the lattice is studied. We show that the order of expansion in delta which is introduced as the dilation parameter can be taken large enough and the result gives rise to the Borel transformation with respect to the relevant variable in the lattice models. The explicit simulation of the continuum scaling from the expansion effective at large spacings is investigated in anharmonic oscillators, d=2 non-linear sigma model at large N and Gross-Neveu model with Wilson fermions.

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