Low-temperature effective potential of the Ising model

Abstract

We study the low-temperature effective potential of the Ising model. We evaluate the three-point and four-point zero-momentum renormalized coupling constants that parametrize the expansion of the effective potential near the coexistence curve. These results are obtained by a constrained analysis of the $\epsilon$-expansion that uses accurate estimates for the two-dimensional Ising model.

16 pages, RevTex, few minor changes

References in corpus (6)

• Critical Exponents of the N-vector model
• Four-point renormalized coupling constant and Callan-Symanzik beta-function in O(N) models
• The two-point correlation function of three-dimensional O(N) models: critical limit and anisotropy
• Renormalized couplings and scaling correction amplitudes in the N-vector spin models on the sc and the bcc lattices
• Effective potential in three-dimensional O(N) models
• The 2n-point renormalized coupling constants in the 3d Ising model: estimates by high temperature series to order beta^17

Cited by in corpus (20)

• Critical exponents and equation of state of the three-dimensional Heisenberg universality class
• Critical behavior of the three-dimensional XY universality class
• 25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple cubic lattice
• The N-component Ginzburg-Landau Hamiltonian with cubic anisotropy: a six-loop study
• Improved high-temperature expansion and critical equation of state of three-dimensional Ising-like systems
• Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus
• Finite-size scaling at quantum transitions
• Coherent and dissipative dynamics at quantum phase transitions
• Goldstone-mode effects and scaling function for the three-dimensional O(4) model
• The effective potential of N-vector models: a field-theoretic study to O(ε^3)
• The 3-D O(4) universality class and the phase transition in two-flavor QCD
• The critical equation of state of the 2D Ising model
• The critical equation of state of three-dimensional XY systems
• Scaling functions for the O(4)-model in d=3 dimensions
• The critical equation of state of the three-dimensional O(N) universality class: N>4
• Duality symmetry, strong coupling expansion and universal critical amplitudes in two-dimensional Φ^{4} field models
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Enhancement of field renormalization in scalar theories via functional renormalization group
• A compared analysis of the susceptibility in the O(N) theory
• Equation of state for systems with Goldstone bosons