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The Qualitative Behavior of Yang-Mills Theory in 2+1 Dimensions

Feynman, Richard P. (1981) The Qualitative Behavior of Yang-Mills Theory in 2+1 Dimensions. Nuclear Physics B, 188 (3). pp. 479-512. ISSN 0550-3213. http://resolver.caltech.edu/CaltechAUTHORS:20141106-142447103

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Abstract

The SU(2) gauge theory of gluons (no quarks) is studied in two space and one time dimensions. Only qualitative or suggestive discussions are made. Starting from the quantum field equations it is argued that the necessary gauge invariance of the wave functional results, in this non-abelian case, in a finite energy for any excitation ('"glueball"') above the ground state. Furthermore, fluctuations in which gauging factors change sign can occur independently in regions adequately separated in space. This results in a potential between distant massive quarks rising linearly with distance (quark confinement). The situation in 3 + l dimensions is not discussed.


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http://dx.doi.org/10.1016/0550-3213(81)90005-5DOIArticle
http://www.sciencedirect.com/science/article/pii/0550321381900055PublisherArticle
Additional Information:Copyright © 1981 Published by Elsevier B.V. I should like to thank many people for conversations about this. I have profited substantially from suggestions made by J. Ambjørn, G. 't Hooft and L. Yaffe. I am especially indebted to W. Marciano who called my attention to serious errors in a previous manuscript circulated as a preprint. This paper is the result of extensive revision of that manuscript.
Record Number:CaltechAUTHORS:20141106-142447103
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Deposited By: Joy Painter
Deposited On:06 Nov 2014 23:09
Last Modified:06 Nov 2014 23:09

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