ϕ34lattice field theory viewed from the high-temperature side

摘要: We analyze high-temperature series expansions of the two- and four-point correlation functions in three-dimensional Euclidean lattice scalar field theory with quartic self-coupling, which have been recently extended through 25th order for simple-cubic body-centered-cubic lattices. conclude that length present is sufficient a fairly accurate description critical behavior model confirm validity universality, scaling, hyperscaling. In case lattice, we determine value self-coupling leading corrections to scaling approximately vanish correspondingly universal parameters can be determined high accuracy. particular, susceptibility correlation-length exponents find {gamma}=1.2373(2) {nu}=0.6301(2). For renormalized coupling g=23.56(3). our results are consistent earlier estimates.