Continuum scaling in expansions effective at a large lattice spacing

Abstract

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.

arXiv comment18 pages, 21 figures. to be published in J. Phys. G

References in corpus (5)

• Emergence of Tricritical Point and Liquid-Gas Phase in the Massless 2+1 Dimensional Gross-Neveu Model
• Convergent sequences of perturbative approximations for the anharmonic oscillator I. Harmonic approach
• Delta Expansion on the Lattice and Dilated Scaling Region
• Modified Laplace transformation method and its application to the anharmonic oscillator
• Continuum Scaling from Large Mass Expansion on the Lattice: Delta Expansion Applied to the Anharmonic Oscillator

Cited by in corpus (2)

• Pade-Borel approximation of the continuum limit of strong coupling lattice fields: Two dimensional non-linear O(N) sigma model at N>=3
• Estimates of critical quantities from an expansion in mass: Ising model on the simple cubic lattice