The QCD vacuum, confinement and strings in the Vacuum Correlator Method

Abstract

In this review paper the QCD vacuum properties and the structure of color fields in hadrons are studied using the complete set of gauge-invariant correlators of gluon fields. Confinement in QCD is produced by the correlators of some certain Lorentz structure, which violate abelian Bianchi identities and therefore are absent in the case of QED. These correlators are used to define an effective colorless field, which satisfies Maxwell equation with nonzero effective magnetic current. With the help of the effective field and correlators it is shown that quarks are confined due to effective magnetic currents, squeezing gluonic fields into a string, in agreement with the ``dual Meissner effect''. Distribution of effective gluonic fields are plotted in mesons, baryons and glueballs with static sources.

36 pages, 19 figures, to appear in UFN, updated version. Few references added, minor differences

References in corpus (27)

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• Confining strings in SU(N) gauge theories
• Gauge--invariant field correlators in QCD at finite temperature
• Static SU(3) potentials for sources in various representations
• Hadrons with a heavy colour-adjoint particle
• The Confinement
• Casimir scaling as a test of QCD vacuum
• Gluelump spectrum in the QCD string model
• Probing the QCD Vacuum with Static Sources in Maximal Abelian Projection
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• String Nature of Confinement in (Non-)Abelian Gauge Theories
• Field Correlators in Abelian-Projected Theories and Stochastic Vacuum Model
• Hadronization of a Quark-Gluon Plasma in the Chromodielectric Model
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• Operator product expansion and confinement
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• Confinement: Results and Perspectives
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Cited by in corpus (13)

• Bright Flares in Supergiant Fast X-ray Transients
• Nonperturbative equation of state of quark-gluon plasma. Applications
• Constant entropy hybrid stars: a first approximation of cooling evolution
• Field Correlator Method for the confinement in QCD
• Confinement Mechanism in the Field Correlator Method
• Different faces of confinement
• INTEGRAL study of temporal properties of bright flares in Supergiant Fast X-ray Transients
• Magnetic susceptibility at zero and nonzero chemical potential in QCD and QED
• The colormagnetic confinement in QCD
• Color screening in flux tubes and in the color Coulomb potential from the QCD Field Correlators
• The spatial string tension and the nonperturbative Debye mass from the Field Correlator Method
• Topological density fluctuations and gluon condensate around confining string in Yang-Mills theory
• Mass generation with adjoint fermions