8 citations · 8 across the 3 of their papers we have counts for
8 papers
High-accuracy critical exponents of O(N) hierarchical sigma models
J. J. Godina, L. Li, Y. Meurice +1
We perform high-accuracy calculations of the critical exponent gamma and its subleading exponent for the 3D O(N) Dyson's hierarchical model, for N up to 20. We calculate the critic…
Hyperscaling in the Broken Symmetry Phase of Dyson's Hierarchical Model
J. J. Godina, Y. Meurice, M. B. Oktay
We use polynomial truncations of the Fourier transform of the local measure to calculate the connected q-point functions of Dyson's hierarchical model in the broken symmetry phase.…
Symmetry Breaking, Duality and Fine-Tuning in Hierarchical Spin Models
J. J. Godina, Y. Meurice, S. Niermann +1
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 exp…
Universality, Scaling and Triviality in a Hierarchical Field Theory
J. J. Godina, Y. Meurice, S. Niermann +1
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 renormali…
Accurate Checks of Universality for Dyson's Hierarchical Model
J. J. Godina, Y. Meurice, M. B. Oktay
Using recently developed methods, we perform high-accuracy calculations of the susceptibility near beta_c for the D=3 version of Dyson's hierarchical model. Using linear fits, we e…
A Check of a D=4 Field-Theoretical Calculation Using the High-Temperature Expansion for Dyson's Hierarchical Model
J. J. Godina, Y. Meurice, S. Niermann
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 ar…