论文标题
来自De Sitter Universe的真空的大规模Z实量和Fermion-Antivermion对的扰动生产
A perturbative production of massive Z bosons and fermion-antifermion pairs from the vacuum in the de Sitter Universe
论文作者
论文摘要
在本文中，我们研究了保姆几何形状中中性电动相互作用的问题。我们在相互作用领域的解决方案的帮助下，通过使用扰动方法来开发Proca领域减少的形式主义。作为对我们形式主义的应用，我们研究了不断扩展的Sitter Universe中真空吸尘器的大规模费米子和Z玻色子的产生。我们的结果是，对于Z玻色子与瘦小的相互作用的情况，Weinberg-Salam Electro-Weak理论的弯曲几何形状的概括。发现该概率是取决于哈勃参数的数量，我们证明只有对于早期宇宙的大型扩张方式才有可能。对于大扩展的情况，获得了总概率和过渡速率，我们使用尺寸正则化来从MONMA积分中提取有限结果。在Minkowski限制中，我们获得了真空产生的粒子产生的可能性正在消失，从而恢复了众所周知的结果，即由于动量 - 能量保护，固定时空的颗粒产生。
In this paper we study the problem of neutral electro-weak interactions in a de Sitter geometry. We develop the formalism of reduction for the Proca field with the help of the solutions for the interacting fields and by using perturbative methods we obtain the definition of the transition amplitudes in the first order of perturbation theory. As an application to our formalism we study the generation of massive fermions and Z bosons from vacuum in the expanding de Sitter universe. Our results are the generalization to the curved geometry of the Weinberg-Salam electro-weak theory for the case of Z boson interaction with leptons. The probability is found to be a quantity that depends on the Hubble parameter and we prove that such perturbative processes are possible only for large expansion regime of the early Universe. The total probability and rate of transition are obtained for the case of large expansion and we use the dimensional regularization for extract finite results from the momenta integrals. In the Minkowski limit we obtain that the probability of particle generation from vacuum is vanishing recovering the well known result that forbids particle production in flat space-time due to the momentum-energy conservation.
