Emergence of the$\overline t$t-condensate and the disappearance of scalars in the standard model on the Planck latticet-condensate and the disappearance of scalars in the standard model on the Planck lattice

Summary

We have reformulated the Standard Model (SM) on a lattice with lattice constanta _p∼10⁻³³cm by adding the Nambu-Jona Lasinio terms, quadrilinear in the Fermi fields, necessary to avoid the «no-go» theorem of Nielsen and Ninomiya. We find that for certain values of the new Fermi couplings a spontaneous violation of the SM chiral symmetry emerges which i) avoids the «no-go» theorem, ii) produces a kind of$\overline t$t-condensate model, iii) does not exhibit low-energy scalar particles.