Large center vortices and confinement in 3D Z(2) gauge theory

Abstract

We study the role of large clusters of center vortices in producing confinement in 3D Z(2) gauge theory. First, we modify each configuration of a Monte Carlo-generated ensemble in the confined phase by removing the largest cluster of center vortices, and show that the ensemble thus obtained does not confine. Conversely, we show that removing all of the small clusters of center vortices and leaving the largest one only, confinement is preserved, albeit with a string tension significantly smaller than the original one. Remarkably, also the string corrections due to the quantum fluctuations of the confining flux tube are preserved by this transformation.

arXiv comment8 pages,5 figures

References in corpus (5)

• Center Dominance and Z2 Vortices in SU(2) Lattice Gauge Theory
• Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition
• Surface Tension, Surface Stiffness, and Surface Width of the 3-dimensional Ising Model on a Cubic Lattice
• String Effects in the Wilson Loop: a high precision numerical test
• Rough Interfaces Beyond the Gaussian Approximation

Cited by in corpus (5)

• Localization of Dirac modes in finite-temperature ${\mathbb{Z}}_2$ gauge theory on the lattice
• Monopole clusters, center vortices, and confinement in a Z(2) gauge-Higgs system
• Finite-temperature topological transitions in the presence of quenched uncorrelated disorder
• The geometric phase transition of the three-dimensional ${\mathbb{Z}}_2$ lattice gauge model
• Percolating cluster of center vortices and confinement