21 citations · 30 across the 7 of their papers we have counts for
7 papers
From nonlinear scaling fields to critical amplitudes
Y. Meurice, S. Niermann
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…
Examples of overlapping convergent expansions of scaling variables
Y. Meurice, S. Niermann
We construct series expansions for the scaling variables (which transform multiplicatively under a renormalization group (RG) transformation) in examples where the RG flows, going…
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…
Non-Universal Quantities from Dual RG Transformations
Y. Meurice, S. Niermann
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…
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…
Non-Perturbative Aspects of Scalar Field theory
Y. Meurice, S. Niermann, G. Ordaz
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 tr…