Dual realizations of dynamical symmetry breaking

Details Dual realizations of dynamical symmetry breaking Dual realizations of dynamical symmetry breaking

2006-08-08

arxiv.org/abs/hep-th/0608054v1

JHEP0611:010,2006

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 1 figure

Scientific paper

10.1088/1126-6708/2006/11/010

We show the infrared equivalence between a recently proposed model containing a six dimensional scalar field with a four-dimensional localized Higgs type potential and the four-dimensional Nambu-Jona-Lasinio (NJL) model. In the dual NJL description, the fermions are localized at the origin of a large two-dimensional compact space. Due to a classical running effect above the compactification scale, the four-fermion coupling of the NJL model increases from the cutoff scale down to the compactification scale, providing the large Fermi coupling needed for the dynamical symmetry breaking. We also present a string theory embedding of our field-theory construction. On more general grounds, our results suggest that 4d models with dynamical symmetry breaking can be given a higher dimensional description in terms of field theories with nontrivial boundary conditions in the internal space.

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