Confinement of quarks

Kenneth G. Wilson
Phys. Rev. D 10, 2445 – Published 15 October 1974
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Abstract

A mechanism for total confinement of quarks, similar to that of Schwinger, is defined which requires the existence of Abelian or non-Abelian gauge fields. It is shown how to quantize a gauge field theory on a discrete lattice in Euclidean space-time, preserving exact gauge invariance and treating the gauge fields as angular variables (which makes a gauge-fixing term unnecessary). The lattice gauge theory has a computable strong-coupling limit; in this limit the binding mechanism applies and there are no free quarks. There is unfortunately no Lorentz (or Euclidean) invariance in the strong-coupling limit. The strong-coupling expansion involves sums over all quark paths and sums over all surfaces (on the lattice) joining quark paths. This structure is reminiscent of relativistic string models of hadrons.

  • Received 12 June 1974

DOI:https://doi.org/10.1103/PhysRevD.10.2445

©1974 American Physical Society

Authors & Affiliations

Kenneth G. Wilson

  • Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14850

Comments & Replies

Wilson's quark confinement and the origin of the Okubo-Zweig-Iizuka rule

H. G. Dosch and V. F. Müller
Phys. Rev. D 12, 3343 (1975)

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Issue

Vol. 10, Iss. 8 — 15 October 1974

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