论文标题
从De Witter Universe中的真空产生大量$ W^{\ pm} $ bosons and Fermion-Antivermion对
Production of massive $W^{\pm}$ bosons and fermion-antifermion pairs from vacuum in the de Sitter Universe
论文作者
论文摘要
在本文中，我们研究了De Sitter几何形状中充电的电动脉动相互作用。我们在交互领域的解决方案的帮助下为Proca领域开发了还原形式主义。扰动理论用于在一阶中获得过渡幅度的定义。我们将形式主义应用于对扩展的Sitter Universe中自发真空发射的自发真空排放。我们的结果是在$ w^{\ pm} $ boson与Leptons相互作用的情况下，Weinberg-Salam Electro-Weak理论对弯曲时空的概括。发现概率和过渡幅度是取决于哈勃参数的数量。我们的分析和图形结果证明，这种扰动过程仅在早期宇宙的较大膨胀条件下才有可能。对于大型扩张的情况，获得了总概率和过渡速率，我们使用尺寸正则化和Pauli-Villars正则化来实现Momenta积分。最终，我们恢复了Minkowski限制的概率消失，从而证实了一个众所周知的事实，即由于能量巨头保存，$ W^{\ pm} $玻色子的自发真空排放被禁止在平坦的时空中被禁止。
In this paper we study the charged electro-weak interactions in the de Sitter geometry. We develop the reduction formalism for the Proca field with the help of the solutions for the interacting fields. Perturbation theory is used for obtaining the definition of the transition amplitudes in the first order. We apply our formalism to the study of spontaneous vacuum emission of fermions, anti-fermions and $W^{\pm}$ bosons in the expanding de Sitter universe. Our results are generalizations of the Weinberg-Salam electro-weak theory to curved space-time, in the case of $W^{\pm}$ boson interaction with leptons. The probability and transition amplitude are found to be a quantities which depend on the Hubble parameter. Our analytical and graphical results prove that such perturbative processes are possible only for the large expansion conditions of the early Universe. The total probability and rate of transition are obtained for the case of large expansion and we use dimensional regularization and Pauli-Villars regularization for the momenta integrals. In the end we recover the Minkowski limit, where our probabilities vanish, thus confirming the well known fact that spontaneous vacuum emission of $W^{\pm}$ bosons and fermions is forbidden in flat space-time due to energy-momentum conservation.
