Planck Scale Physics, Gravi-Weak Unification and the Higgs Inflation

Abstract

Starting with a theory of the discrete space-time at the Planck scale, we developed a Gravi-Weak Unification (GWU) - a $Spin(4,4)$-invariant model unified gravity with weak $SU(2)$ gauge and Higgs fields in the visible and invisible sectors of the Universe. Considering the Gravi-Weak symmetry breaking, we showed that the obtained sub-algebras contain the self-dual left-handed gravity in the OW, and the anti-self-dual right-handed gravity in the MW. Finally, at the low energy limit, we have only the Standard Model (SM) and the Einstein-Hilbert's gravity. The Froggatt-Nielsen's prediction of the top-quark and Higgs masses was given in the assumption that there exist two degenerate vacua in the SM. This prediction was improved by the next order calculations. We have developed a model of the Higgs Inflation using the GWU action. According to this inflationary model, a scalar field (inflaton) starts trapped from the "false vacuum" of the Universe at the Higgs field's VEV $v_2\sim 10^{18}$ GeV. The interaction between the ordinary and mirror Higgs fields $\varphi$ and $\tilde{\varphi }$ generates a Hybrid model by A.~Linde of the Higgs Inflation in our Universe.

Invited talk by Larisa Laperashvili at the Symposium "PHYSICS AND ASTRONOMY MEET 2015", Feb 4, 2015, Hyderabad, India. Proceeding will be announced separately by France. arXiv admin note: text overlap with arXiv:1412.3811 by other authors

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