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A better large $N$ expansion for chiral Yukawa models | | George Bathas
; Herbert Neuberger
; | | Date: |
28 Oct 1992 | | Journal: | Nucl. Phys. Proc. Suppl. 30 (1993) 635 | | Subject: | hep-lat hep-ph hep-th | | Abstract: | We consider the most general renormalizable chiral Yukawa model with $SU(3)_{
m color}$ replaced by $SU(N_c)$, $SU(2)_{
m L}$ replaced by $SU(N_w )$ and $U(1)_{Y}$ replaced by $U(1)^{N_w -1}$ in the limit $N_c
ightarrowinfty$, $N_w
ightarrowinfty$ with the ratio $
ho=sqrt{{N_w}over{N_c}}
e 0,infty$ held fixed. Since for $N_w ge 3$ only one renormalizable Yukawa coupling per family exists and there is no mixing between families the limit is appropriate for the description of the effects of a heavy top quark when all the other fermions are taken to be massless. The large $N=sqrt{N_{c} N_{w}}$ expansion is expected to be no worse quantitatively in this model that in the purely scalar case and the $N=infty$ limit is soluble even when the model is regularized non--perturbatively. A rough estimate of the triviality bound on the Yukawa coupling is equivalent to $m_t le 1~TeV$. | | Source: | arXiv, hep-lat/9210035 | | Services: | Forum | Review | PDF | Favorites | |
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