An Introduction to the Confinement Problem by Jeff Greensite

By Jeff Greensite

This ebook addresses the confinement challenge, which fairly in general bargains with the habit of non-abelian gauge theories, and the strength that is mediated via gauge fields, at huge distances.The note “confinement” within the context of hadronic physics initially spoke of the truth that quarks and gluons seem to be trapped inside of mesons and baryons, from which they can not get away. There are different, and doubtless deeper meanings that may be connected to the time period, and those can be explored during this booklet. even supposing the confinement challenge is much from solved, a lot is referred to now in regards to the basic gains of the confining strength, and there are various rather well prompted theories of confinement that are below energetic research. This quantity supplies a either pedagogical and concise advent and evaluation of the most rules during this box, their appealing beneficial properties, and, as acceptable, their shortcomings.

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B 298, 400–404 (1993) arXiv:hep-lat/ 9210021 12. : Detecting dual superconductivity in the ground state of gauge theory. Phys. Lett. B 349, 513–518 (1995) arXiv:hep-lat/9403013 13. : Color confinement and dual superconductivity of the vacuum. 1. Phys. Rev. D 61, 034503-1–034503-10 (2000) arXiv: hep-lat/9906024 14. : Restoration of the local gauge symmetry and color confinement in non-Abelian gauge theories. II. Prog. Theor. Phys. 69, 1524–1536 (1983) 15. : Restoration of the local gauge symmetry and color confinement in non-Abelian gauge theories.

In such plots the mesons and baryons of given flavor quantum numbers seem to lie on nearly parallel straight lines, known as linear Regge trajectories. This is a very striking feature of the QCD spectrum, nothing similar is found in the electroweak theory, and the question is why it occurs. Suppose that we picture a meson as a straight line of length L = 2R, with mass per unit length r. The line rotates about a perpendicular axis through its midpoint, such that the endpoints of the line are moving at the speed of light.

Phys. Lett. B 349, 513–518 (1995) arXiv:hep-lat/9403013 13. : Color confinement and dual superconductivity of the vacuum. 1. Phys. Rev. D 61, 034503-1–034503-10 (2000) arXiv: hep-lat/9906024 14. : Restoration of the local gauge symmetry and color confinement in non-Abelian gauge theories. 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.

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