26 citations · 65 across the 6 of their papers we have counts for
6 papers
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…
The Oscillatory Behavior of the High-Temperature Expansion of Dyson's Hierarchical Model: A Renormalization Group Analysis
Y. Meurice, S. Niermann, G. Ordaz
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 correction…
A Two-Parameter Recursion Formula For Scalar Field Theory
Y. Meurice, G. Ordaz
We present a two-parameter family of recursion formulas for scalar field theory. The first parameter is the dimension . The second parameter () allows one to continuously e…
Evidence for Complex Subleading Exponents from the High-Temperature Expansion of the Hierarchical Ising Model
Y. Meurice, G. Ordaz, V. G. J. Rodgers
Using a renormalization group method, we calculate 800 high-temperature coefficients of the magnetic susceptibility of the hierarchical Ising model. The conventional quantities obt…
The Elusive Asymptotic Behavior of the High-Temperature Expansion of the Hierarchical Ising Model
Y. Meurice, G. Ordaz
We present a differential formulation of the recursion formula of the hierarchical model which provides a recursive method of calculation for the high-temperature expansion. We cal…
A Numerical Study of the Hierarchical Ising Model: High Temperature Versus Epsilon Expansion
Y. Meurice, G. Ordaz, V. G. J. Rodgers
We study numerically the magnetic susceptibility of the hierarchical model with Ising spins () above the critical temperature and for two values of the epsilon parameter.…