Confinement studies in lattice QCD

Abstract

We describe the current search for confinement mechanisms in lattice QCD. We report on a recent derivation of a lattice Ehrenfest-Maxwell relation for the Abelian projection of SU(2) lattice gauge theory. This gives a precise lattice definition of field strength and electric current due to static sources, charged dynamical fields, gauge fixing and ghosts. In the maximal Abelian gauge the electric charge is anti-screened analogously to the non-Abelian charge.

Talk given at the Symposium in Honor of Dick Slansky, Los Alamos, May 20-21 1998, to be published in Phys. Rep., Latex 2e uses class file elsart.cls

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• The lattice SU(2) confining string as an Abrikosov vortex
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• A gauge invariant study of the monopole condensation in non Abelian lattice gauge theories
• An Almost Perfect Quantum Lattice Action for Low-energy SU(2) Gluodynamics
• Towards Abelian-like formulation of the dual gluodynamics
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• Confinement and Chiral Symmetry Breaking via Domain-Like Structures in the QCD Vacuum
• The compact Q=2 Abelian Higgs model in the London limit: vortex-monopole chains and the photon propagator
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• Lattice analysis for the energy scale of QCD phenomena
• Dirac Strings and Monopoles in the Continuum Limit of SU(2) Lattice Gauge Theory
• Model independent approach to studies of the confining dual Abrikosov vortex in SU(2) lattice gauge theory
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• Monopole Chains in the Compact Abelian Higgs Model with doubly-charged Matter Field
• Vortex waistlines and long range fluctuations
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• Infrared degrees of freedom of Yang-Mills theory in the Schroedinger representation
• Decomposition of the SU(2) gauge field in the Maximal Abelian gauge
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• Determination of monopole condensate from monopole action in quenched SU(2) QCD
• New features of the maximal abelian projection
• Numerical determination of monopole entropy in pure SU(2) QCD
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• Decomposition of the static potential in SU(3) gluodynamics
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• Regular and chaotic interactions of two BPS dyons at low energy
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• Vortex waistlines and vortex gas
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• Entropy of spatial monopole currents in pure SU(2) QCD at finite temperature
• Energy-entropy study of projected space-like monopoles in finite-T quenched SU(2) QCD
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• Numerical study of gluon propagators in Maximally Abelian gauge