Vortices, monopoles and confinement

Abstract

We construct the creation operator of a vortex using the methods developed for monopoles. The vacuum expectation value of this operator is interpreted as a disorder parameter describing vortex condensation and is studied numerically on a lattice in SU(2) gauge theory. The result is that vortices behave in the vacuum in a similar way to monopoles. The disorder parameter is different from zero in the confined phase, and vanishes at the deconfining phase transition. We discuss this behaviour in terms of symmetry. Correlation functions of the vortex creation operator at zero temperature are also investigated. A comparison is made with related results by other groups.

16 pages

References in corpus (13)

• Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition
• Colour confinement and dual superconductivity of the vacuum - I
• Computation of the Vortex Free Energy in SU(2) Gauge Theory
• Colour confinement and dual superconductivity of the vacuum - II
• Spatial 't Hooft loop, hot QCD and Z_N domain walls
• The Structure of Projected Center Vortices in Lattice Gauge Theory
• Magnetic Z(N) symmetry in hot QCD and the spatial Wilson loop
• On P-vortices and the Gribov problem
• The Vortex-Finding Property of Maximal Center (and Other) Gauges
• Free energy of an SU(2) monopole-antimonopole pair
• A disorder analysis of the Ising model
• A dual view of the 3d Heisenberg model and the abelian projection
• What we do understand of Colour Confinement

Cited by in corpus (18)

• The Confinement Problem in Lattice Gauge Theory
• Problems in Lattice Gauge Fixing
• Confining Dyon-Anti-Dyon Coulomb Liquid Model I
• Color confinement and dual superconductivity of the vacuum. III
• G_2 gauge theory at finite temperature
• The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Jarzynski's theorem for lattice gauge theory
• Color confinement and dual superconductivity in full QCD
• On 't Hooft's loop operator
• Imaginary chemical potentials and the phase of the fermionic determinant
• Center Vortex Model for the Infrared Sector of SU(3) Yang-Mills Theory - Vortex Free Energy
• Color confinement and dual superconductivity of the vacuum. IV
• Monopoles in Abelian Polyakov gauge and projection (in)dependence of the dual superconductor mechanism of confinement
• Probing center vortices and deconfinement in $\mathrm{SU}(2)$ lattice gauge theory with persistent homology
• 't Hooft surface in lattice gauge theory
• Non-Abelian vortex in lattice gauge theory
• Investigating QCD Vacuum on the lattice
• Chiral transition and deconfinement in N_f = 2 QCD