SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars

We study SU(n) symmetry breaking by rank three and rank two antisymmetric tensor fields. Using tensor analysis, we derive branching rules for the adjoint and antisymmetric tensor representations, and explain why for general SU(n) one finds the same U(1) generator mismatch that we noted earlier in sp...

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Bibliographic Details
Main Author: Stephen L. Adler
Format: Article
Language:English
Published: Elsevier 2015-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315002592
Description
Summary:We study SU(n) symmetry breaking by rank three and rank two antisymmetric tensor fields. Using tensor analysis, we derive branching rules for the adjoint and antisymmetric tensor representations, and explain why for general SU(n) one finds the same U(1) generator mismatch that we noted earlier in special cases. We then compute the masses of the various scalar fields in the branching expansion, in terms of parameters of the general renormalizable potential for the antisymmetric tensor fields.
ISSN:0370-2693