Critical renormalized coupling constants in the symmetric phase of the Ising models

Abstract

Using a novel finite size scaling Monte Carlo method, we calculate the four, six and eight point renormalized coupling constants defined at zero momentum in the symmetric phase of the three dimensional Ising system. The results of the 2D Ising system that were directly measured are also reported. Our values of the six and eight point coupling constants are significantly different from those obtained from other methods.

7 pages, 2 figures

References in corpus (9)

• Critical Exponents of the N-vector model
• Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus
• Four-point renormalized coupling constant and Callan-Symanzik beta-function in O(N) models
• Renormalized couplings and scaling correction amplitudes in the N-vector spin models on the sc and the bcc lattices
• Perturbative renormalization group, exact results and high temperature series to order 21 for the N-vector spin models on the square lattice
• Effective potential in three-dimensional O(N) models
• Universal sextic effective interaction at criticality
• Renormalized sextic coupling constant for the two-dimensional Ising model from field theory
• Duality symmetry, strong coupling expansion and universal critical amplitudes in two-dimensional Φ^{4} field models

Cited by in corpus (5)

• Critical universality and hyperscaling revisited for Ising models of general spin using extended high-temperature series
• The critical equation of state of the 2D Ising model
• Precision calculation of universal amplitude ratios in $O(N)$ universality classes: Derivative Expansion results at order $\mathcal{O}({\partial }^4)$
• Tethered Monte Carlo: computing the effective potential without critical slowing down
• Critical parameters and universal amplitude ratios of two-dimensional spin-S Ising models using high- and low-temperature expansions