Field correlators in QCD. Theory and applications

Abstract

This review is aimed to demonstrate the basics and use of formalism of gauge-invariant nonlocal correlators in nonabelian gauge theories. Many phenomenologically interesting nonperturbative aspects of gluodynamics and QCD can be described in terms of correlators of the nonabelian field strength tensors. It is explained how the properties of correlator ensemble encode the structure of QCD vacuum and determine different nonperturbative observables. It is argued that in gluodynamics and QCD the dominant role is played by the lowest nontrivial two-point correlator (Gaussian dominance). Lattice measurements of field correlators are discussed. Important for the formalism theoretical tools, such as nonabelian Stokes theorem, background perturbation theory, cluster expansion, as well as phenomenological applications to the heavy quarkonium dynamics and QCD phase transition are reviewed.

LaTeX, 77 pages, 7 eps-figures

References in corpus (9)

• Potential NRQCD: an effective theory for heavy quarkonium
• Glueball masses and Pomeron trajectory in nonperturbative QCD
• Casimir scaling as a test of QCD vacuum
• String Nature of Confinement in (Non-)Abelian Gauge Theories
• String formation and chiral symmetry breaking in the heavy-light quark-antiquark system in QCD
• Perturbative-nonperturbative interference in the static QCD interaction at small distances
• Test of the QCD vacuum with the sources in higher representations
• Non-Abelian Stokes Theorem for Wilson Loops Associated with General Gauge Groups
• Contour gauges, canonical formalism and flux algebras

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• Astrophysical constraints on the confining models : the Field Correlator Method
• The confining color field in SU(3) gauge theory
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• Hybrid star structure with the Field Correlator Method
• Nonperturbative SU(3) thermodynamics and the phase transition
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• Cooling of hybrid neutron stars with microscopic equations of state
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• The Hyperfine Splittings in Heavy-Light Mesons and Quarkonia
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• Unruh thermalization, gluon condensation and freeze-out
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• Theoretical evidence for a tachyonic ghost state contribution to the gluon propagator in high energy, forward quark-quark `scattering'
• Color-octet nonrelativistic QCD matrix elements for heavy quarkonium decays in the refined Gribov-Zwanziger theory
• Triviality-quantum decoherence of fermionic quantum chromodynamics SU(Nc)) in the presence of an external strong U(infinite) flavored constant noise field
• Confinement of Fermions in Tachyon Matter at Finite Temperature
• Nonlocal field correlators on the lattice in HP^1 sigma-model
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• Universality in the Electroproduction of Vector Mesons
• Color-magnetic correlations in SU(2) and SU(3) lattice QCD
• Inhomogeneous phase of a Gluon Plasma at finite temperature and density
• Neutron Star masses from the Field Correlator Method Equation of State
• Mixed colour states in QCD confining vacuum
• Worldline Casting of the Stochastic Vacuum Model and Non-Perturbative Properties of QCD: General Formalism and Applications
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• Mass generation with adjoint fermions
• Colour confinement and gauge-invariant field-strength correlations
• From QCD phenomenology to nuclear physics phenomenology: the chiral confining model
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