Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-03-13
Physics
High Energy Physics
High Energy Physics - Phenomenology
44 pages, LateX, To appear in Proc. 14th Symposium on Theoretical Physics ``Dynamical Symmetry Breaking and Effective Field Th
Scientific paper
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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