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

2007/06/30 by H. Reinhardt, Hugo Reinhardt, D. Epple · 7 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Magnetic confinement fusion research #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevd.76.065015

published as Phys.Rev.D76:065015,2007 · 32 pages, 4 figures, uses revtex4

arxiv created 2007/09/21 · openalex publication_date 2007/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Schr"odinger equation in Coulomb gauge. It is shown that this wave functional yields indeed a perimeter law for large spatial 't Hooft loops signaling confinement.

Citations

• Propagators in Coulomb gauge from SU(2) lattice gauge theory

Cited by

• Hamiltonian approach to 1+1 dimensional Yang–Mills theory in Coulomb gauge
• Quark confinement from colour confinement
• Dielectric Function of the QCD Vacuum
• Gauge-invariant and infrared-improved variational analysis of the Yang-Mills vacuum wave functional
• Subcritical solution of the Yang-Mills Schrödinger equation in the Coulomb gauge
• Wilson loop from a Dyson equation
• Variational approach to Yang-Mills theory at finite temperatures

Related

• 't Hooft loops in N=4 super-Yang-Mills
• Spatial 't Hooft loop in hot SUSY theories at weak coupling
• 't Hooft loop and the phases of SU(2) LGT
• Hamiltonian Approach to QCD: The effective potential of the Polyakov loop
• Coulomb gauge Yang-Mills theory in the Hamiltonian approach