论文标题
快速转弯通货膨胀的动态一致性条件
Dynamical consistency conditions for rapid turn inflation
论文作者
论文摘要
我们在具有定向标量场空间的两场宇宙学模型中得出了持续缓慢的滚动和快速转向通胀的一致性条件，这意味着具有这种类型的田间空间轨迹的通货膨胀模型是非传播的。特别是，我们表明三阶绝热慢速滚动以及较大且缓慢变化的转弯速率需要模型的标量势以满足某个非线性二阶PDE，其系数取决于标量场指标。我们还得出了所谓的“快速转向吸引子”近似值中缓慢滚动通货膨胀溶液的一致性条件，并研究了具有旋转不变的场空间度量的两场磁场模型中圆形快速转轨轨迹的一致性条件。最后，我们认为，在有限的电子折叠数量之后，快速转向机制往往会自然退出。
We derive consistency conditions for sustained slow roll and rapid turn inflation in two-field cosmological models with oriented scalar field space, which imply that inflationary models with field-space trajectories of this type are non-generic. In particular, we show that third order adiabatic slow roll, together with large and slowly varying turn rate, requires the scalar potential of the model to satisfy a certain nonlinear second order PDE, whose coefficients depend on the scalar field metric. We also derive consistency conditions for slow roll inflationary solutions in the so called ``rapid turn attractor'' approximation, as well as study the consistency conditions for circular rapid turn trajectories with slow roll in two-field models with rotationally invariant field space metric. Finally, we argue that the rapid turn regime tends to have a natural exit after a limited number of e-folds.
