Motivated by the ideas of Jacob Bekenstein concerning gravity-assisted symmetry breaking, we consider a non-canonical model of f(R) = R + R2 extended gravity coupled to neutral scalar “inflaton”, as well as to SU(2) × U(1) multiplet of fields matching the content of the bosonic sector of the electroweak particle model, however with the following significant difference — the SU(2) × U(1) iso-doublet Higgs-like scalar enters here with a standard positive mass squared and without quartic selfinteraction. Strong interaction dynamics and, in particular, QCD-like confinement effects are also considered by introducing an additional coupling to a strongly nonlinear gauge field whose Lagrangian contains a square-root of the standard Maxwell/Yang–Mills kinetic term. The latter is known to produce charge confinement in flat spacetime. The principal new ingredient in the present approach is employing the formalism of non-Riemannian spacetime volume-forms — alternative generally covariant volume elements independent of the spacetime metric, constructed in terms of auxiliary antisymmetric tensor gauge fields of maximal rank. Although being almost pure-gauge, i.e. not introducing any additional propagating degrees of freedom, their dynamics triggers a series of physically important features when passing to the Einstein frame: (i) Appearance of two infinitely large flat regions of the effective “inflaton” scalar potential with vastly different energy scales corresponding to the “early” and “late” epochs of the Universe; (ii) Dynamical generation of Higgs-like spontaneous symmetry breaking effective potential for the SU(2) × U(1) iso-doublet scalar in the “late” Universe, and vanishing of the symmetry breaking in the “early” Universe; (iii) Dynamical appearance of charge confinement via the “square-root” nonlinear gauge field in the “late” Universe and deconfinement in the “early” Universe.
|Original language||English GB|
|Title of host publication||Jacob Bekenstein|
|Subtitle of host publication||The Conservative Revolutionary|
|Number of pages||12|
|State||Published - 2019|