Abstract
Based on the ladder Schwinger-Dyson equation, we investigate phase structure of the gauged Yukawa model possessing a global SU(2)L X SU(2)R symmetry and an unbroken (vector-like) gauge symmetry. We show that even when we tune the squared mass of the scalar boson in the Lagrangian to be positive, there still exists the dynamical chiral symmetry breaking due to fermion pair conden sate (VEV of the composite scalar) triggered by the strong Yukawa coupling larger than a certain critical value. We find a nontrivial ultraviolet fixed line and renormalized trajectories in the three-dimensional coupling space of the Yukawa coupling, the gauge coupling and the hopping parameter of the elementary scalar field. Presence of the gauge coupling is crucial to existence of the fixed line. Implications of the result for the lattice calculation and the top quark condensate model are also discussed.
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