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Geometrical gauge theory of ghost and Goldstone fields and of ghost symmetries

Ne'eman, Yuval and Thierry-Mieg, Jean (1980) Geometrical gauge theory of ghost and Goldstone fields and of ghost symmetries. Proceedings of the National Academy of Sciences of the United States of America, 77 (2). pp. 720-723. ISSN 0027-8424.

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We provide a geometrical identification of the ghost fields, essential to the renormalization procedure in the non-Abelian (Yang-Mills) case. These are some of the local components of a connection on a principal bundle. They multiply the differentials of coordinates spanning directions orthogonal to those of a given section, whereas the Yang-Mills potential multiplies the coordinates in the section itself. In the case of a supergroup, the ghosts become commutative for the odd directions, and represent Nambu-Goldstone fields. We apply the results to chiral "flavor" SU(3)Lx SU(3)R and to SU(2/1). The latter reproduces a highly constrained Weinberg-Salam model.

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Additional Information:© 1980 by the National Academy of Sciences. Contributed by Yuval Ne'eman, November 1, 1979. This work was supported in part by the U.S.-Israel Binational Science Foundation and by the U.S. Department of Energy Grant EY-76-S-05-3992. We would also like to acknowledge the support of the Wolfson Chair Extraordinary at Tel-Aviv University. The publication costs of this article were defrayed in part by page charge payment. This article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. §1734 solely to indicate this fact.
Subject Keywords:principal bundle; renormalization; supergroup; spontaneous symmetry breakdown; unified electro-weak interactions
Issue or Number:2
Record Number:CaltechAUTHORS:NEEpnas80
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8788
Deposited By: Tony Diaz
Deposited On:17 Sep 2007
Last Modified:02 Oct 2019 23:54

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