Triviality problem and high-temperature expansions of higher susceptibilities for the Ising and scalar-field models in four-, five-, and six-dimensional lattices.
作者： P. Butera , M. Pernici
DOI: 10.1103/PHYSREVE.85.021105
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摘要: High-temperature expansions are presently the only viable approach to numerical calculation of higher susceptibilities for spin and scalar-field models on high-dimensional lattices. The critical amplitudes these quantities enter into a sequence universal amplitude ratios that determine equation state. We have obtained substantial extension, through order 24, high-temperature free energy (in presence magnetic field) Ising with s≥1/2 lattice theory quartic self-interaction simple-cubic body-centered-cubic lattices in four, five, six spatial dimensions. A analysis from yields results consistent widely accepted ideas, based renormalization group constructive Euclidean quantum field theory, concerning no-interaction ("triviality") property continuum (scaling) limit spin-s at above upper dimensionality.
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128.84.21.199参考文章(105)
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