By Jeff Greensite

This booklet addresses the confinement challenge, which rather usually offers with the habit of non-abelian gauge theories, and the strength that's mediated via gauge fields, at huge distances.The observe “confinement” within the context of hadronic physics initially stated the truth that quarks and gluons seem to be trapped inside of mesons and baryons, from which they can't break out. There are different, and doubtless deeper meanings that may be hooked up to the time period, and those should be explored during this e-book. even though the confinement challenge is way from solved, a lot is referred to now concerning the normal positive factors of the confining strength, and there are many rather well encouraged theories of confinement that are lower than energetic research. This quantity provides a either pedagogical and concise creation and assessment of the most rules during this box, their appealing positive aspects, and, as applicable, their shortcomings.

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II. Prog. Theor. Phys. 69, 1524–1536 (1983) 15. : Restoration of the local gauge symmetry and color confinement in non-Abelian gauge theories. Prog. Theor. Phys. 67, 1607–1618 (1982) 16. : The Quark–gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement. Ann. Phys. 3042 [hep-ph] 17. : Numerical study of the Kugo–Ojima criterion and the Gribov problem in the Landau gauge. arXiv:hep-lat/0007001 18. : Coulomb energy, remnant symmetry, and the phases of non-Abelian gauge theories.

Theor. Math. Phys. 43, 353–356 (1980) (Teor. Mat. Fiz. 43, 111 (1980)) 9. : Stokes’s theorems for non-Abelian fields. Phys. Rev. D 24, 2324–2329 (1981) 10. , Simonov, Yu. : Field correlators in QCD: Theory and applications. Phys. Rep. 372, 319–368 (2002) (arXiv:hep-ph/0007223) 11. : Field strength and dual variable formulations of gauge theory. Phys. Rev. D 19, 517–530 (1979) 12. : String, corner and plaquette formulation of finite lattice gauge theory. Phys. Rev. D 30, 1782–1790 (1984) Chapter 3 What is Confinement?

20]. It turns out that this criterion also predicts transitions between confining and non-confining phases, where in fact no such transitions exist. 4 Center Symmetry In the Ising model example, the distinction between the ordered and disordered phases corresponded to whether or not a certain global symmetry of the theory is spontaneously broken. But in the gauge-Higgs theory we have discussed, it seems impossible to distinguish between the confinement-like and Higgs-like regions of the theory in terms of the spontaneous symmetry breaking of a gauge symmetry.