论文标题
通过无质旋转的粒子创建 - $ \ frac {1} {2} $ field在扭曲的宇宙学braneworld场景中
Particle creation by a massless spin-$\frac{1}{2}$ field in a warped cosmological braneworld scenario
论文作者
论文摘要
研究了一个量化的无质量体积旋转的能量动量张量 - $ \ frac {1} {2} $ field在五个维度扭曲的宇宙学空间中进行了研究。我们模型的四个维度代表了扭曲的宇宙学厚毛，额外维度的比例与时间有关。我们使用简单的Ansatz来求解整体中的狄拉克方程，这有助于我们将结果与已知的四个维情况进行比较。使用绝热正则化方法实现了能量动量张量的分量的重量法。我们计算了对六阶的压力能量张量的领先订单有限贡献。所得的能量和压力密度明确显示了所谓的翘曲因子的影响以及动态额外的维度对创建物质的影响。我们展示了如何将产生的能量密度定位为沿额外的维度形成3型抗。
Energy momentum tensor of a quantized massless bulk spin-$\frac{1}{2}$ field in five dimensional warped cosmological spacetimes is studied. The four dimensional part of our model represents a warped cosmological thick brane and the scale of the extra dimension is time-dependent. We use a simple ansatz to solve the Dirac equation in the bulk that helps us to compare our results with the known four dimensional case. Renormalisation of the components of the energy momentum tensor is achieved using adiabatic regularization method. We compute the leading order finite contribution to the stress-energy tensor which is of adiabatic order six. The resulting energy and pressure densities explicitly show the effects of the so-called warping factor and the dynamic extra dimension on the created matter. We show how the energy density produced are localized to form 3-branes along the extra dimension.
