Dolan, Brian P. and Szabo, Richard J.
Dimensional Reduction, Monopoles
and Dynamical Symmetry Breaking.
Journal of High Energy Physics, 3 (059).
We consider SU(2)-equivariant dimensional reduction of Yang-Mills-Dirac theory on manifolds
of the form M × CP1, with emphasis on the effects of non-trivial magnetic flux on CP1. The
reduction of Yang-Mills fields gives a chain of coupled Yang-Mills-Higgs systems on M with a
Higgs potential leading to dynamical symmetry breaking, as a consequence of the monopole
fields. The reduction of SU(2)-symmetric fermions gives massless Dirac fermions on M transforming
under the low-energy gauge group with Yukawa couplings, again as a result of the
internal U(1) fluxes. The tower of massive fermionic Kaluza-Klein states also has Yukawa interactions
and admits a natural SU(2)-equivariant truncation by replacing CP1 with a fuzzy
sphere. In this approach it is possible to obtain exactly massless chiral fermions in the effective
field theory with Yukawa interactions, without any further requirements. We work out the spontaneous
symmetry breaking patterns and determine the complete physical particle spectrum in
a number of explicit examples.
||Preprint version of original article published by the Institute of Physics. B.P.D. wishes to thank the Dublin Institute of Advanced Studies for financial support. The work
of R.J.S. was supported in part by the EU-RTN Network Grant MRTN-CT-2004-005104.
||Spontaneous Symmetry Breaking; Large Extra Dimensions; Space-Time Symmetries;
||Science & Engineering > Mathematical Physics
Dr. Brian Dolan
||15 Sep 2011 10:42
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||Journal of High Energy Physics
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