论文标题
扭转和通货膨胀的可能性
Torsion and the Probability of Inflation
论文作者
论文摘要
从爱因斯坦 - 卡丹理论的角度来看,我们重新审视了“通货膨胀概率”的问题,即使在没有旋转电流的情况下,扭转也可能存在扭转。非正式的估计表明,从“无”进入古典宇宙的隧道障碍会变得更薄且较低,即使仅存在扭转,也会存在扭转。这是通过详细的计算证实的,在我们的情况下,对通常的假设进行了重新评估和重新使用。有趣的是,通常不需要文献中使用的某些近似值(例如WKB近似),尤其是在我们的情况下。但是,当我们考虑以零扭转为中心的波数据包时,结论取决于这些结论的建立方式至关重要。对于量度和概率的klein-gordon电流处方,对于小扭转方差,σ_c,我们恢复了平面波结果。但是,对于大σc,高阶校正可以扭转这一结论。
We revisit the problem of the "probability of inflation" from the point of view of the Einstein-Cartan theory, where torsion can be present off-shell even in the absence of spinorial currents. An informal estimate suggests that the barrier for tunneling from "nothing" into a classical universe becomes thinner and lower, should torsion be present even if only off-shell. This is confirmed by a detailed calculation, where the usual assumptions are re-evaluated and repurposed in our situation. Interestingly some approximations used in the literature (such as the WKB approximation) are not needed in general, and in particular in our case. When we consider wave packets centered around zero torsion, however, the conclusion depends crucially how these are built. With a Klein-Gordon current prescription for the measure and probability, for small torsion variance, σ_c, we recover the plane wave results. Nonetheless, for large σc, higher order corrections could reverse this conclusion.