Critical constraints on chiral hierarchies
Oct, 199210 pages
Published in:
- Phys.Rev.Lett. 70 (1993) 1587-1590
e-Print:
- hep-ph/9210276 [hep-ph]
Report number:
- BUHEP-92-35,
- HUTP-92-A058
Citations per year
Abstract:
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 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 coupling cannot always support a large hierarchy. In particular, if the Nambu--Jona-Lasinio model solved in the large- limit is a good approximation to the high-energy dynamics, then these models will not produce acceptable electroweak symmetry breaking.- phi**n model: 4
- critical phenomena: hierarchy
- symmetry breaking: chiral
- electroweak interaction: symmetry breaking
- symmetry breaking: electroweak interaction
- symmetry: U(N) x U(N)
- top: condensation
- model: technicolor
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