THE STANDARD MODEL ON A PLANCK LATTICE: EMERGENCE OF THE anti tt- CONDENSATE AND DISAPPEARANCE OF THE HIGGS PARTICLE

Motivated by the possibility that the violent fluctuations of quantum gravity at the Planck scale might endow space-time with a lattice structure with lattice constant a_p \~ 10^-33 cm (the Planck lattice), we have reformulated the Standard Model (SM) on such lattice by adding Nambu-Iona 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 ̄t condensate model, (iii) does not exhibit the low-energy scalar particle, that in the continuum ̄t-condensate surrogates the Higgs boson.