The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge

Abstract

The spatial 't Hooft loop, which is a disorder parameter dual to the temporal Wilson loop, is calculated using the nonperturbative Yang-Mills vacuum wave functional determined previously by a variational solution of the Yang-Mills Schroedinger equation in Coulomb gauge. It is shown, that this wave functional yields indeed a perimeter law for large spatial 't Hooft loops signaling confinement.

arXiv comment32 pages, 4 figures, uses revtex4

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• Testing Proposals for the Yang-Mills Vacuum Wavefunctional by Measurement of the Vacuum
• Variational approach to Yang-Mills theory at finite temperatures
• The deconfinement phase transition in the Hamiltonian approach to Yang--Mills theory in Coulomb gauge
• Quark Sector of the QCD Groundstate in Coulomb Gauge
• Resolving temporal Gribov copies in Coulomb gauge Yang-Mills theory
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• The Yang-Mills Vacuum in Coulomb Gauge in D=2+1 Dimensions
• The Wilson loop from a Dyson equation
• Finite-temperature Yang-Mills theory in the Hamiltonian approach in Coulomb gauge from a compactified spatial dimension
• On the temporal Wilson loop in the Hamiltonian approach in Coulomb gauge
• Dyson--Schwinger approach to Hamiltonian Quantum Chromodynamics
• Topological susceptibility in SU(2) Yang-Mills theory in the Hamiltonian approach in Coulomb gauge
• SU($N$) Toric Code and Nonabelian Anyons
• Wilson loops in the Hamiltonian formalism
• Gauge-invariant and infrared-improved variational analysis of the Yang-Mills vacuum wave functional
• Hamiltonian approach to Coulomb gauge Yang-Mills Theory
• The effective potential of the Polyakov loop in the Hamiltonian approach to QCD
• Hamiltonian approach to QCD in Coulomb gauge: From the vacuum to finite temperatures