Gauge hierarchies for chiral SU(N) × SU(N) groups
Keyword(s):
We have presented a special case where a hierarchy of spontaneous breaking of the symmetries can be achieved in conventional gauge theories (i.e. the Higgs scalars are elementary bosons and the coupling constants of the quartic interactions are small). We break spontaneously the chiral group SU(N) × SU(N) with Higgs scalars transforming like the (N, [Formula: see text]) representation of SU(N) × SU(N). By minimizing the potential we obtain a set of algebraic equations of the type[Formula: see text]where ηj are the vacuum expectation values of the Higgs scalars and μi2 and Aij are parameters. In order to get a hierarchy of spontaneous symmetry breaking we obtain the condition det Aij = 0.
2006 ◽
Vol 39
(25)
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pp. 8205-8219
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2001 ◽
Vol 16
(17)
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pp. 3011-3024
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2010 ◽
Vol 25
(08)
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pp. 1725-1738
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