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Pseudo-epsilon expansion and the two-dimensional Ising model | | A.I. Sokolov
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4 Oct 2005 | | Journal: | Fizika Tverdogo Tela 47 (2005) 2056-2059 [Physics of the Solid State 47 (2005) 2144-2147] | | Subject: | Statistical Mechanics; High Energy Physics - Lattice; High Energy Physics - Phenomenology; High Energy Physics - Theory | cond-mat.stat-mech hep-lat hep-ph hep-th | | Abstract: | Starting from the five-loop renormalization-group expansions for the two-dimensional Euclidean scalar phi^4 field theory (field-theoretical version of two-dimensional Ising model), pseudo-epsilon expansions for the Wilson fixed point coordinate g*, critical exponents, and the sextic effective coupling constant g_6 are obtained. Pseudo-epsilon expansions for g*, inverse susceptibility exponent gamma, and g_6 are found to possess a remarkable property - higher-order terms in these expansions turn out to be so small that accurate enough numerical estimates can be obtained using simple Pade approximants, i. e. without addressing resummation procedures based upon the Borel transformation. | | Source: | arXiv, cond-mat/0510088 | | Services: | Forum | Review | PDF | Favorites | |
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