Monte Carlo computation of the effective potential for the three dimensional Ising system

Abstract

Using a novel finite size scaling Monte Carlo technique, we calculate the four, six and eight point renormalized coupling constants defined at zero momentum for the three dimensional Ising system. Our values of the six and eight point coupling constants are significantly different from those obtained from other methods.

Talk presented at LATTICE96(other models); 3pages; latex using espcrc2.sty

References in corpus (4)

• Finite-Size Scaling at $\xi /L\gg 1$
• The Large N Limit and the High Temperature Phase Transition for the ϕ^4 Theory
• Dimensional Expansion for the Ising Limit of Quantum Field Theory
• Advanced Linked Cluster Expansion. Scalar Fields at Finite Temperature

Cited by in corpus (13)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Critical Exponents of the N-vector model
• Improved high-temperature expansion and critical equation of state of three-dimensional Ising-like systems
• Critical universality and hyperscaling revisited for Ising models of general spin using extended high-temperature series
• 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
• The 2n-point renormalized coupling constants in the 3d Ising model: estimates by high temperature series to order beta^17
• Finite Size Scaling and ``perfect'' actions: the three dimensional Ising model
• Precision calculation of universal amplitude ratios in $O(N)$ universality classes: Derivative Expansion results at order $\mathcal{O}({\partial }^4)$
• Low-temperature effective potential of the Ising model
• The free energy in a magnetic field and the universal scaling equation of state for the three-dimensional Ising model
• An Analytic Equation of State for Ising-like Models
• Critical renormalized coupling constants in the symmetric phase of the Ising models