Nontriviality of Gauge-Higgs-Yukawa System and Renormalizability of Gauged NJL Model

Abstract

In the leading order of a modified 1/Nc expansion, we show that a class of gauge-Higgs-Yukawa systems in four dimensions give non-trivial and well-defined theories in the continuum limit. The renormalized Yukawa coupling y and the quartic scalar coupling λhave to lie on a certain line in the (y,λ) plane and the line terminates at an upper bound. The gauged Nambu--Jona-Lasinio (NJL) model in the limit of its ultraviolet cutoff going to infinity, is shown to become equivalent to the gauge-Higgs-Yukawa system with the coupling constants just on that terminating point. This proves the renormalizability of the gauged NJL model in four dimensions. The effective potential for the gauged NJL model is calculated by using renormalization group technique and confirmed to be consistent with the previous result by Kondo, Tanabashi and Yamawaki obtained by the ladder Schwinger-Dyson equation.

32 pages, LaTeX, 3 Postscript Figures are included as uuencoded files (need `epsf.tex'), KUNS-1278, HE(TH) 94/10 / NIIG-DP-94-2. (Several corrections in the introduction and references.)

Cited by in corpus (25)

• Asymptotic safety guaranteed
• UV descriptions of composite Higgs models without elementary scalars
• Top quark condensation
• The Higgs Mass and the Scale of New Physics
• Mass Generation, the Cosmological Constant Problem, Conformal Symmetry, and the Higgs Boson
• Top Mode Standard Model with Extra Dimensions
• The strongly coupled fourth family and a first-order electroweak phase transition (I) quark sector
• Gauge-Yukawa Unification in $SO(10)$ SUSY GUTs
• Interplay of universality classes in a three-dimensional Yukawa model
• Chiral-Symmetric Technicolor with Standard Model Higgs boson
• Walking on the Ladder: 125 GeV Technidilaton, or Conformal Higgs -Dedicated to the late Professor Yoichiro Nambu-
• Gauged Nambu-Jona-Lasinio inflation
• Nontriviality of Abelian gauged Nambu-Jona-Lasinio models in four dimensions
• Dynamical fermion mass generation by strong gauge interaction shielded by a scalar field
• Chiral symmetry breaking in gauged $\mathbf{NJL}$ model in curved spacetime
• Inflation from the Finite Scale Gauged Nambu-Jona-Lasinio Model
• Ideal Walking Dynamics via a Gauged NJL Model
• Gauged Nambu-Jona-Lasinio model with extra dimensions
• Regularization dependence of pion generalised parton distributions
• Phases of Inflation
• Gauged System Mimicking the Gürsey Model
• Nontrivial, Asymptotically Non-free Gauge Theories and Dynamical Unification of Couplings
• An alternative attractor in gauged NJL inflation
• Origin of Mass - Horizons Expanding from the Nambu's Theory
• Asymptotically Free Non-Abelian Gauge Theories With Fermions and Scalars As Alternatives to QCD