Modified Gravity and Inflaton Assisted Dynamical Generation of Charge Confinement and Electroweak Symmetry Breaking in Cosmology

Abstract

We describe a new type of gravity-matter models where modified f(R)=R+R^2 gravity couples non-canonically to a scalar "inflaton", to the bosonic sector of the electroweak particle model and to a special nonlinear gauge field with a square-root of the standard Maxwell/Yang-Mills kinetic term simulating QCD confining dynamics. Our construction is based on the powerful formalism of non-Riemannian space-time volume-forms - alternative metric-independent volume elements defined in terms of auxiliary antisymmetric tensor gauge fields. Our model provides a unified Lagrangian action principle description of: (i) the evolution of both "early" and "late" universe by the "inflaton" scalar field; (ii) gravity-inflaton-assisted dynamical generation of Higgs spontaneous breakdown of electroweak gauge symmetry in the "late" universe, as well as dynamical suppression of electroweak breakdown in the "early" universe; (iii) gravity-inflaton-assisted dynamical generation of QCD-like confinement in the "late" universe and suppression of confinement in the "early" universe due to the special interplay with the dynamics of the QCD-simulating nonlinear gauge field.

arXiv comment11 pages, contribution to the 10th Jubilee International Conference of the Balkan Physical Union, Sofia, August 2018, to be published in AIP Conference Proceedings, partial overlap with arXiv:1804.07925

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• Quintessential Inflation with Dynamical Higgs Generation as an Affine Gravity
• Dynamically Generated Inflationary Lambda-CDM
• Dynamically generated inflationary two-field potential via non-Riemannian volume forms
• $\Lambda$CDM as a Noether Symmetry in Cosmology
• Non-Riemannian Volume Elements Dynamically Generate Inflation
• Four-Dimensonal Gauss-Bonnet Gravity Without Gauss-Bonnet Coupling to Matter - Spherically Symmetric Solutions, Domain Walls and Spacetime Singularities