论文标题
在通货膨胀期间和之后,史温格(Schwinger)产生标量颗粒的第一原理
Schwinger production of scalar particles during and after inflation from the first principles
论文作者
论文摘要
通过使用第一原理方法,我们得出了一个由三个量子动力学方程组成的系统,该系统通过扩展的宇宙中的电场来控制带电标量颗粒的产生和进化。分析动力学函数的紫外线行为,我们发现了电流的不同部分和产生的颗粒的能量孔张量,并确定了相应的对抗。重量化的方程式系统用于研究在通货膨胀模型中和之后的电磁场的产生$ \ Mathcal {l} _ {\ rm em} = - (1/4)f^{2}(2}(2}(ϕ)F_ {μ $ f = \ exp(βϕ/m_ {p})$。发现创建颗粒的电流相对于电场而言会阻碍。这与先前在现象学动力学方法和流体动力学方法中获得的结果相一致,从而导致两种量的振荡行为。
By using the first-principles approach, we derive a system of three quantum kinetic equations governing the production and evolution of charged scalar particles by an electric field in an expanding universe. Analyzing the ultraviolet asymptotic behavior of the kinetic functions, we found the divergent parts of the electric current and the energy-momentum tensor of the produced particles and determined the corresponding counterterms. The renormalized system of equations is used to study the generation of electromagnetic fields during and after inflation in the kinetic coupling model $\mathcal{L}_{\rm EM}=-(1/4)f^{2}(ϕ)F_{μν}F^{μν}$ with the Ratra coupling function $f=\exp(βϕ/M_{p})$. It is found that the electric current of created particles is retarded with respect to the electric field. This leads to an oscillatory behavior of both quantities in agreement with the results obtained previously in phenomenological kinetic and hydrodynamical approaches.