Weyl Scaling Invariant $R^2$ Gravity for Inflation. (arXiv:2006.02811v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Tang_Y/0/1/0/all/0/1">Yong Tang</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Wu_Y/0/1/0/all/0/1">Yue-Liang Wu</a>
Inflation in the early universe can generate the nearly conformal invariant
fluctuation that leads to the structures we observe at the present. The simple
viable Starobinsky $R^2$ inflation has an approximate global scale symmetry. We
study the conformal symmetric Weyl $R^2$ gravity and demonstrate its
equivalence to Einstein gravity coupled with a scalar and a Weyl gauge field.
The scalar field can be responsible for inflation with Starobinsky model as the
attractor, potentially distinguishable from the latter by future experiments.
The intrinsic Weyl gauge boson becomes massive once the Einstein frame is
fixed, and constitutes as a dark matter candidate through gravitational
production.
Inflation in the early universe can generate the nearly conformal invariant
fluctuation that leads to the structures we observe at the present. The simple
viable Starobinsky $R^2$ inflation has an approximate global scale symmetry. We
study the conformal symmetric Weyl $R^2$ gravity and demonstrate its
equivalence to Einstein gravity coupled with a scalar and a Weyl gauge field.
The scalar field can be responsible for inflation with Starobinsky model as the
attractor, potentially distinguishable from the latter by future experiments.
The intrinsic Weyl gauge boson becomes massive once the Einstein frame is
fixed, and constitutes as a dark matter candidate through gravitational
production.
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