INVESTIGATION OF EARY UNIVERSE BASED ON UNIFIED THEORIES

在先前对宇宙环境的物理学影响的研究中，已经通过使用Boltzmann equation完全地平均在热介质中进行了评估。本方法基于壳上S矩阵元素、轮胎过渡矩阵元素之间的无限过去和H6 ： rite未来，“和在6个晚上中间时间的负量子机械相关性”。在目前的调查中，一种完全量子的机械方法已经被采用，并在影响功能性方法中使用。在早期宇宙中出现的重型稳定粒子中粒子的粒子、成对抑制已经被调查，并且量子动力学equation用于加速粒子的动量分布已经被产生。交叉对称的Hartree近似，它确定了自一致地开发了equilibrium分布，其Markovian近似显示了普遍化Boltzmann equation，包括壳外效应。外壳外效应在低温度下占主导地位。The Deck changes the equilibrium distribution from the familiar 1/（e^<Omegamu/gamma>-1）由Gibbs formula修改的一个。集成在动量上，轮胎颗粒数密度严重成为有序（耦合） * ROO<T/M>·T^3在S波退火的低温度下。当前宇宙中的相对质量密度在质量和耦合参数的较大范围内不敏感耦合强度，以及VAMP质量的尺度为<approximately equal>6*10^4 eVcm ^&lt;-3&gt;（M/geV）^&lt;4/3&gt;

In most previous study of physical cosrnology effect of cosmic environment has been evaluated by using the Boltzmann equation suitably averaged in thermal medium. This approach is based on the on-shell S-matrix element, tire transition matrix element between the infinite past and the h6 : rite future, 'and neglects subtle quantum mechanical correlation at 6nite intermediate times of the on-going process. In the present investigation a fully quantum mechanical approach is adopted, using the in influence functional method. In particular, pair annihilation of heavy stable particle that occurs in the early universe was investigated, and quantum kinetic equation for the momentum distribution of the annihilating particle has been derived.A crossing symmetric Hartree approximation that determines self-consistently the equilibrium distribution is developed, and its Markovian approximation is shown to generalize the Boltzmann equation, including off-shell effects. The off-shell effect is dominant at low temperatures. The deck changes the equilibrium distribution from the familiar 1/(e^<omegamu/gamma>-1) modified one given by a Gibbs formula. Integrated over momenta, tire particle number density becomes roughly of order (coupling) * ROO<T/M>・T^3 at low 'temperatures for the S-wave annihilation. The relic mass density in the present universe is insensitive the coupling strength in a large range of the mass and the coupling parameters, and scales with the VAMP mass as <approximately equal> 6*10^4eVcm^<-3>(M/geV)^<4/3>