Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1992-10-29
Phys.Rev.Lett. 70 (1993) 1587-1590
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 1 postscript figure (appended), BUHEP-92-35, HUTP-92/A058
Scientific paper
10.1103/PhysRevLett.70.1587
We consider the constraints that critical dynamics places on models with a top quark condensate or strong extended technicolor (ETC). These models require that chiral-symmetry-breaking dynamics at a high energy scale plays a significant role in electroweak symmetry breaking. In order for there to be a large hierarchy between the scale of the high energy dynamics and the weak scale, the high energy theory must have a second order chiral phase transition. If the transition is second order, then close to the transition the theory may be described in terms of a low-energy effective Lagrangian with composite ``Higgs'' scalars. However, scalar theories in which there are more than one $\Phi^4$ coupling can have a {\it first order} phase transition instead, due to the Coleman-Weinberg instability. Therefore, top-condensate or strong ETC theories in which the composite scalars have more than one $\Phi^4$ coupling cannot always support a large hierarchy. In particular, if the Nambu--Jona-Lasinio model solved in the large-$N_c$ limit is a good approximation to the high-energy dynamics, then these models will not produce acceptable electroweak symmetry breaking.
Chivukula Sekhar R.
Golden Mitchell
Simmons Elizabeth H.
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