String Nature of Confinement in (Non-)Abelian Gauge Theories

Abstract

Recent progress achieved in the solution of the problem of confinement in various (non-)Abelian gauge theories by virtue of a derivation of their string representation is reviewed. The theories under study include QCD within the so-called Method of Field Correlators, QCD-inspired Abelian-projected theories, and compact QED in three and four space-time dimensions. Various nonperturbative properties of the vacua of the above mentioned theories are discussed. The relevance of the Method of Field Correlators to the study of confinement in Abelian models, allowing for an analytical description of this phenomenon, is illustrated by an evaluation of field correlators in these models.

100 pages, LaTeX2e, no figures, 1 table, based on the Ph.D. thesises at the Humboldt University of Berlin (1999) (available under http://dochost.rz.hu-berlin.de) and the Institute of Theoretical and Experimental Physics, Moscow (2000), new results are included, extended with respect to the journal version

References in corpus (3)

• Magnetic Monopoles and Topology of Yang-Mills Theory in Polyakov Gauge
• Ensemble of Vortex Loops in the Abelian-Projected SU(3)-Gluodynamics
• The Abelian Higgs Model as an Ensemble of Vortex Loops

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• The QCD Membrane
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• Coloured loops in 4D and their effective field representation
• p-Branes from Generalized Yang-Mills Theory
• Large Dual Transformations and the Petrov-Diakonov Representation of the Wilson Loop
• Vacuum condensates, effective gluon mass and color confinement in a new reformulation of QCD
• $\mathrm{SU}(N)\to \mathrm{Z}(N)$ dual superconductor models: the magnetic loop ensemble point of view
• A Confining String Theory Derivable from Yang-Mills Theory due to a Novel Vacuum Condensate
• A Gauge-Independent Mechanism for Confinement and Mass Gap: Part I -- The General Framework
• How to get rid of Dirac worldsheets in the Cho-Fadeev-Niemi representation of SU(2) Yang-Mills theory
• Confining Strings in the Abelian-Projected SU(3)-Gluodynamics
• Exploring correlations in the stochastic Yang-Mills vacuum
• Jet quenching parameter \hat q in the stochastic QCD vacuum with Landau damping
• Confining strings in the Abelian-projected SU(3)-gluodynamics II. 4D-case with $\theta$-term
• String Breaking and Z(2) Local Symmetry in the 3D Georgi-Glashow model
• A Possible Universal Treatment of the Field Strength Correlator in the Abelian-Projected SU(2)-Theory
• Casimir bag energy in the stochastic approximation to the pure QCD vacuum