Structure of the confining solutions for SU(3)-Yang-Mills equations and confinement mechanism

Abstract

Structure of exact solutions modelling confinement is discussed for SU(3)-Yang-Mills equations and uniqueness of such confining solutions is proved in a certain sense. Relationship of the obtained results to QCD and the confinement mechanism is considered. Incidentally the Wilson confinement criterion for the found solutions is verified and also numerical estimates for strength of magnetic colour field responsible for linear confinement are adduced in the ground state of charmonium.

16 pages, LaTeX

References in corpus (4)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Black hole physics, confining solutions of SU(3)-Yang-Mills equations and relativistic models of mesons
• Dirac equation in the confining SU(3)-Yang-Mills field and relativistic effects in charmonium spectrum
• Estimates of the gluon concentrations in the confining SU(3)-Yang-Mills field for the first three states of charmonium

Cited by in corpus (12)

• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in the ground state of toponium: Relativistic and nonrelativistic approaches
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in pions and kaons
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in π^0-meson from one- and two-photon decays
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in charged pions and kaons from leptonic decays and chiral symmetry breaking
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in $\eta$-meson from two-photon decay
• Classical model of confinement
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in neutral kaons and chiral limit for pseudoscalar nonet
• The Nonsymmetric Kaluza-Klein Theory and Modern Physics. A Novel Approach
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in an ${\eta }^{\prime }$-meson
• Exact solutions of (n + 1)-dimensional Yang-Mills equations in curved space-time
• Quark confinement mechanism and the scale ${\Lambda }_{QCD}$
• Estimates for Parameters and Characteristics of the Confining SU(3)-gluonic Field in $\varphi$-meson from Leptonic Widths