Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Niermann, S."'
Autor:
Meurice, Y., Niermann, S.
Publikováno v:
J.Statist.Phys. 108 (2002) 213-246
We propose to combine the nonlinear scaling fields associated with the high-temperature (HT) fixed point, with those associated with the unstable fixed point, in order to calculate the susceptibility and other thermodynamic quantities. The general st
Externí odkaz:
http://arxiv.org/abs/cond-mat/0105380
Autor:
Meurice, Y., Niermann, S.
We construct series expansions for the scaling variables (which transform multiplicatively under a renormalization group (RG) transformation) in examples where the RG flows, going from an unstable (Wilson's) fixed point to a stable (high-temperature)
Externí odkaz:
http://arxiv.org/abs/hep-lat/0007037
Publikováno v:
Nucl.Phys.Proc.Suppl. 83 (2000) 703-705
We discuss three questions related to the critical behavior of hierarchical spin models: 1) the hyperscaling relations in the broken symmetry phase; 2) the combined use of dual expansions to calculate the non-universal quantities; 3) the fine-tuning
Externí odkaz:
http://arxiv.org/abs/hep-lat/9910027
Autor:
Meurice, Y., Niermann, S.
Publikováno v:
Phys.Rev. E60 (1999) 2612-2615
Using a simplified version of the RG transformation of Dyson's hierarchical model, we show that one can calculate all the non-universal quantities entering into the scaling laws by combining an expansion about the high-temperature fixed point with a
Externí odkaz:
http://arxiv.org/abs/hep-lat/9904002
Publikováno v:
Nucl.Phys.Proc.Suppl. 73 (1999) 763-765
Using polynomial truncations of the Fourier transform of the RG transformation of Dyson's hierarchical model, we show that it is possible to calculate very accurately the renormalized quantities in the symmetric phase. Numerical results regarding the
Externí odkaz:
http://arxiv.org/abs/hep-lat/9809060
Publikováno v:
Nucl.Phys. B519 (1998) 737-755
We calculate the high-temperature expansion of the 2-point function up to order 800 in beta. We show that estimations of the critical exponent gamma based on asymptotic analysis are not very accurate in presence of confluent logarithmic singularities
Externí odkaz:
http://arxiv.org/abs/hep-lat/9710016
Publikováno v:
Phys.Rev. D57 (1998) 6326-6336
The goal of this article is to provide a practical method to calculate, in a scalar theory, accurate numerical values of the renormalized quantities which could be used to test any kind of approximate calculation. We use finite truncations of the Fou
Externí odkaz:
http://arxiv.org/abs/hep-lat/9709097
Using the hierarchical approximation, we discuss the cut-off dependence of the renormalized quantities of a scalar field theory. The naturalness problem and questions related to triviality bounds are briefly discussed. We discuss unphysical features
Externí odkaz:
http://arxiv.org/abs/hep-th/9609057
We calculate 800 coefficients of the high-temperature expansion of the magnetic susceptibility of Dyson's hierarchical model with a Landau-Ginzburg measure. Log-periodic corrections to the scaling laws appear as in the case of a Ising measure. The pe
Externí odkaz:
http://arxiv.org/abs/hep-lat/9608025