Finite-Size Effects in the Interface of 3D Ising Model

Abstract

The interface between domains of opposite magnetization in the 3D Ising model near the critical temperature displays universal finite-size effects which can be described in terms of a gaussian model of capillary waves. It turns out that these finite-size corrections depend rather strongly on the shape of the lattice. This prediction, which has no adjustable parameters, is tested and accurately verified for various lattice shapes by means of numerical simulations with a cluster algorithm. This supports also a long-standing conjecture on the finite-size effects in Wilson loops of Lattice Gauge Theories.

arXiv comment13 pages, plain latex, two figures not included, sorry DFTT 68/92

Cited by in corpus (17)

• The Electroweak Phase Transition: A Non-Perturbative Analysis
• Simulating the Electroweak Phase Transition in the SU(2) Higgs Model
• String Effects in the Wilson Loop: a high precision numerical test
• Interface Tension in Quenched QCD
• Rough Interfaces Beyond the Gaussian Approximation
• Comparison of Monte Carlo Results for the 3D Ising Interface Tension and Interface Energy with (Extrapolated) Series Expansions
• Jarzynski's theorem for lattice gauge theory
• On the behaviour of spatial Wilson loops in the high temperature phase of Lattice Gauge Theories
• The confining string beyond the free-string approximation in the gauge dual of percolation
• First order phase transitions of spin systems
• Capillary Wave Approach to Order-Order Fluid Interfaces in the 3D Three-State Potts Model
• On the Universality of Certain Non-Renormalizable Contributions in Two-Dimensional Quantum Field Theory
• The 2D effective field theory of interfaces derived from 3D field theory
• Fluid Interfaces in the 3D Ising Model as a Dilute Gas of Handles
• Interaction effects in the spectrum of the three-dimensional Ising model
• The functional form of open Wilson lines in gauge theories coupled to matter
• Finite Size Effects in Fluid Interfaces