Cosmology of Linear Higgs-Sigma Models with Conformal Invariance
We consider general linear Higgs-sigma models as ultra-violet completions of the Higgs inflation. We introduce general higher curvature terms beyond Einstein gravity and recast them into a class of linear Higgs-sigma models in the scalar-dual formulation where conformal symmetry is manifest. Integra...
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Zusammenfassung: | We consider general linear Higgs-sigma models as ultra-violet completions of
the Higgs inflation. We introduce general higher curvature terms beyond
Einstein gravity and recast them into a class of linear Higgs-sigma models in
the scalar-dual formulation where conformal symmetry is manifest. Integrating
out the sigma field in this class of linear sigma models, we obtain the same
Higgs inflation Lagrangian of non-linear sigma model type in the effective
theory. We show that the successful inflation for sigma field singles out the
sigma-field potential derived from the $R^2$ term and the tracker solution for
dark energy at late times can be realized for the $R^{p+1}$ term with $-1 |
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DOI: | 10.48550/arxiv.2104.10390 |