A disorder analysis of the Ising model

Abstract

Lattice studies of monopole condensation in QCD are based on the construction of a disorder parameter, a creation operator of monopoles which is written in terms of the gauge fields. This procedure is expected to work for any system which presents duality. We check it on the Ising model in 2d, which is exactly solvable. The output is an amusing exercise in statistical mechanics.

14 pages, 3 figures

References in corpus (3)

• Colour confinement and dual superconductivity of the vacuum - I
• Colour confinement and dual superconductivity of the vacuum - II
• A dual view of the 3d Heisenberg model and the abelian projection

Cited by in corpus (7)

• Vortices, monopoles and confinement
• The disorder parameter of dual superconductivity in QCD revisited
• Color confinement and dual superconductivity of the vacuum. IV
• Topics in Non-Perturbative QCD
• Direct numerical computation of disorder parameters
• Topological charge in 1+1 dimensional lattice ${\varphi }^4$ theory
• Investigating QCD Vacuum on the lattice