Field Correlator Method for the confinement in QCD

Abstract

The theory of confinement based on the stochastic field mechanism, known as the Field Corrleator Method (FCM) is discussed in detail. Experimental and lattice data have accumulated a vast amount of material on the properties of confinement in QCD. We enumerateall these properties as 1)-7), and discuss beyond FCM two existing approaches: monopole based Dual Ginzburg-Landau (DGL) theory,and Gribov-Zwanziger model, from this point of view. It is shown that the FCM satisfies all required criteria. We also prove its selfconsistency; in particular, it is shown that the string tension σ is the only scaleful parameter in the theory beyond fermion masses, and Λ_QCD is calculated explicitly to the lowest order in terms of σ. We also formulate physical consequences of confinement, such as string breaking,Regge trajectories, role of confinement in the perturbation theory, chiral symmetry breaking, confinement in the boosted systems etc. It is demonstrated that the FCM is a suitable tool for the solution of these problems.

arXiv comment47 pages,11 figures,accepted for publication in Phys.Rev.D

References in corpus (87)

• The equation of state in (2+1)-flavor QCD
• The Confinement Problem in Lattice Gauge Theory
• Observing Long Colour Flux Tubes in SU(2) Lattice Gauge Theory
• Fine Structure of the QCD String Spectrum
• Casimir scaling of SU(3) static potentials
• Field correlators in QCD. Theory and applications
• The wall of the cave
• Quark condensate in a magnetic field
• Static potentials and glueball masses from QCD simulations with Wilson sea quarks
• Detailed Analysis of the Three Quark Potential in SU(3) Lattice QCD
• Dual Superconductor Scenario of Confinement: A Systematic Study of Gribov Copy Effects
• Search for top squark pair production in final states with one isolated lepton, jets, and missing transverse momentum in $\sqrt{s}=$ 8 TeV pp collisions with the ATLAS detector
• Heavy Quark Potentials in Quenched QCD at High Temperature
• Casimir Scaling from Center Vortices: Towards an Understanding of the Adjoint String Tension
• QCD phenomenology of static sources and gluonic excitations at short distances
• Gauge--invariant field correlators in QCD at finite temperature
• Gauge-invariant field-strength correlators in pure Yang-Mills and full QCD at finite temperature
• Static SU(3) potentials for sources in various representations
• Exceptional Confinement in G(2) Gauge Theory
• Dual superconductor models of color confinement
• Glueball masses and Pomeron trajectory in nonperturbative QCD
• Casimir scaling as a test of QCD vacuum
• Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
• Structure of Abrikosov Vortices in SU(2) Lattice Gauge Theory
• Gluelump spectrum in the QCD string model
• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• A lattice determination of QCD field strength correlators
• Freezing of QCD coupling affects the short distance static potential
• Chromoelectric flux tubes and coherence length in QCD
• Light-meson orbital excitations in the QCD string approach
• Inside the SU(3) quark-antiquark QCD flux tube: screening versus quantum widening
• The (dual) Meissner effect in SU(2) and SU(3) QCD
• Chiral Lagrangian with confinement from the QCD Lagrangian
• The Feynman-Schwinger representation in QCD
• Are there short distance non-perturbative contributions to the QCD static potential?
• A detailed study of the Abelian-projected SU(2) flux tube and its dual Ginzburg-Landau analysis
• Field Strength Correlators and Dual Effective Dynamics in QCD
• Spectra and decays of hybrid charmonia
• Two-dimensional QCD in the Coulomb gauge
• Perturbative expansions in QCD and analytic properties of alpha_s
• Flux tubes in the QCD vacuum
• Chromoelectric flux tubes in QCD
• A confinement criterion for gauge theories with matter fields
• Perfect Abelian dominance of quark confinement in SU(3) QCD
• Odderon and Pomeron from the Vacuum Correlator Method
• Asymptotic freedom and IR freezing in QCD: the role of gluon paramagnetism
• A different kind of string
• The QCD vacuum, confinement and strings in the Vacuum Correlator Method
• Casimir scaling in G(2) lattice gauge theory
• Glueball spectrum and the Pomeron in the Wilson loop approach
• Dual superconductivity and vacuum properties in Yang--Mills theories
• Three-quark potential and Abelian dominance of confinement in SU(3) QCD
• Relativistic path integral and relativistic Hamiltonians in QCD and QED
• Theory of Light Quarks in the Confining Vacuum
• Analytic calculation of field-strength correlators
• Resolution of the pion puzzle: the QCD string in Nambu-Goldstone mesons
• Static Color-Coulomb Force
• Confinement Mechanism in the Field Correlator Method
• New spectral representation and evaluation of f_πand the quark condensate <\bar q q> in the terms of string tension
• Hybrid Excitations of the QCD String with Quarks
• Phase diagram of the lattice G(2) Higgs Model
• Hadronic Spectroscopy from the Lattice: Glueballs and Hybrid Mesons
• Model independent approach to studies of the confining dual Abrikosov vortex in SU(2) lattice gauge theory
• Second sheet $\sigma$ pole and the threshold enhancement of the spectral function in the scalar-isoscalar meson-sector
• Nonperturbative SU(3) thermodynamics and the phase transition
• Hybrid adiabatic potentials in the QCD string model
• Nonperturbative quark dynamics in a baryon
• Hadron spectrum, quark masses and decay constants from light overlap fermions on large lattices
• Doping-dependent charge dynamics in CuxBi2Se3
• Magnetic confinement and the Linde problem
• Role of the SU($2$) and SU($3$) subgroups in observing confinement in the G($2$) gauge group
• Chiral Lagrangian and chiral quark model from confinement in QCD
• The radial Regge trajectories and leptonic widths of the isovector mesons
• Cohomogeneity one Ricci Solitons from Hopf Fibrations
• Boosting QED and QCD bound states in the path integral formalism
• Nonperturbative quark-gluon thermodynamics at finite density
• Interaction of Wilson loops in confining vacuum
• Charmonia from Lattice QCD
• QCD string and the Lorentz nature of confinement
• Analysis of the QCD spectrum and chiral symmetry breaking with varying quark masses
• Contributions of the center vortices and vacuum domain in potentials between static sources
• Confinement and ${\alpha }_s$ in a strong magnetic field
• SU(N_c -> infinity) Lattice Data and Degrees of Freedom of the QCD string
• Color screening in flux tubes and in the color Coulomb potential from the QCD Field Correlators
• Systematics of flux tubes in the dual Ginzburg-Landau theory and Casimir scaling hypothesis: folklore and lattice facts
• $F_4$ , $E_6$ and $G_2$ Exceptional Gauge Groups in Vacuum Domain Structure Model
• Image Specificity

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• The colormagnetic confinement in QCD
• Quark condensate in QCD at nonzero magnetic field and temperature
• Chiral dynamics with confinement versus the standard chiral theory
• Quark models: What can they teach us?
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