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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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
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author Stephen L. Adler
author_facet Stephen L. Adler
author_sort Stephen L. Adler
collection DOAJ
description 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.
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spelling doaj.art-360882ef724047d6863089b67e6d040f2022-12-21T18:25:42ZengElsevierPhysics Letters B0370-26932015-05-01744380384SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalarsStephen L. Adler0Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USAWe 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.http://www.sciencedirect.com/science/article/pii/S0370269315002592
spellingShingle Stephen L. Adler
SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars
Physics Letters B
title SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars
title_full SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars
title_fullStr SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars
title_full_unstemmed SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars
title_short SU(n) symmetry breaking by rank three and rank two antisymmetric tensor scalars
title_sort su n symmetry breaking by rank three and rank two antisymmetric tensor scalars
url http://www.sciencedirect.com/science/article/pii/S0370269315002592
work_keys_str_mv AT stephenladler sunsymmetrybreakingbyrankthreeandranktwoantisymmetrictensorscalars