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Dynamical Symmetry Breaking with Large Anomalous Dimension

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arxiv hep-ph/9603293 v1 pith:GNGYWLNQ submitted 1996-03-13 hep-ph

classification hep-ph
keywords quarkcondensategaugegaugedlargemodeltechnicoloranomalous
verification ladder T0 review T1 audit T2 compute T3 formal
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We give an introduction to the dynamical symmetry breaking with large anomalous dimension. This is the basis of tightly bound composite Higgs models such as walking technicolor, strong ETC technicolor and top quark condensate, which are all characterized by the large anomalous dimension, \gamma_m \simeq 1 (walking technicolor), 1<\gamma_m<2 (strong ETC technicolor) and \gamma_m \simeq 2 (top quark condensate) due to nontrivial short distance dynamics of the gauged Nambu-Jona-Lasinio (NJL) models (gauge theories plus four-fermion interactions). Particular emphasis will be placed on the top quark condensate in which the critical phenomenon in the gauged NJL model yields a simple reason why the top quark can have an extremely large mass compared with other quarks and leptons. Topics will also cover a recent observation that the four-fermion theory {\it in the presence of gauge interactions} (gauged NJL model) can become renormalizable and nontrivial in sharp contrast to the pure NJL model without gauge interactions. The requirement of this renormalizability/nontriviality of the gauged NJL model can be applied to the top quark condensate when the standard gauge groups are unified into a GUT with ``walking'' coupling, which then naturally leads to the top quark and the Higgs masses both around 180 GeV.

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Cited by 2 Pith papers

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    hep-th 2024-12 conditional novelty 7.0 of 10

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    A composite Higgs model in which dark matter mass and a light scalar mediator both arise from hypercolor dynamics, giving velocity-dependent self-interacting dark matter with a claimed viable thermal relic.

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