论文标题
Weyl缩放不变$ r^2 $重力通货膨胀和暗物质
Weyl Scaling Invariant $R^2$ Gravity for Inflation and Dark Matter
论文作者
论文摘要
早期宇宙的通胀可以产生几乎不变的波动，从而导致我们目前观察到的结构。简单可行的Starobinsky $ r^2 $通货膨胀具有近似的全球尺度对称性。我们研究保形的对称Weyl $ \ hat {r}^2 $和一般$ f（\ hat {r}）$理论，并证明了它们与Einstein Gravity的等效性，以及标量和Weyl仪表领域。 Weyl $ \ hat {r}^2 $ Gravity中的标量字段可能导致以Starobinsky模型为吸引子的通货膨胀，并可能通过未来的实验与后者区分开。一旦固定了爱因斯坦的框架，固有的Weyl仪表玻色子就会变得巨大，并且构成质量高达$ \ sim 5 \ times 10^{16} $ GEV的暗物质候选者。
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 $\hat{R}^2$ and general $F(\hat{R})$ theories and demonstrate their equivalence to Einstein gravity coupled with a scalar and a Weyl gauge field. The scalar field in Weyl $\hat{R}^2$ gravity 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 with mass up to $\sim 5\times 10^{16}$GeV.
