额外维紧致球空间的变形与K-K粒子质量的修正计算

本文根据高维时空中的Einstein宇宙学场方程研究了额外维空间的变形和K-K粒子质量的修正.在模型中假定内部空间中存在高阶U(1)规范场和真空能密度的作用,然后分别计算了紧致单球和紧致双球的半径和对应的K-K粒子质量.另外,通过内部球度规的单参量变形和双单参量变形计算了半径和K-K粒子质量的修正值,还分析和讨论了额外维数目和变形效应对内部球半径和K-K粒子质量的影响.本文还研究了单球和双球紧致化中涨落解的变化规律,即假定围绕标度因子的静态解产生随时间变化的微小涨落,仔细分析了Einstein场方程对应的线性涨落方程解的增长性质.结果发现单球和双球紧致化中涨落解都可以达到稳定状态,这一结论和标量场势能的稳定性结果完全一致,因此时空上度规涨落可以导致K-K粒子质量的产生.

The deformation of extra dimensional compact sphere space and modified calculation of K-K particles mass

In this paper, the deformation of extra dimensional space and the correction of K-K particle mass are studied according to Einstein cosmological field equation in high dimensional space-time. It is assumed that to exist high-order gauge fields and vacuum energy densities in the interior space of the model, then the radius of compact single sphere and compact double sphere and the corresponding mass of K-K particles are calculated respectively. In addition, the modified values of radius and K-K particle mass are calculated by using single-parameter deformation and double-parameters deformation of internal sphere metric. The number of extra dimensions and deformation effect on internal sphere radius and K-K particle mass are also analyzed and discussed. We also study the variation of fluctuation solutions in singlesphere and double-sphere compactification, i.e., assuming that the static solutions around the scale factor to produce a small fluctuation with time, we carefully analyze the growth properties of solutions for linear fluctuation equation corresponding to Einstein field equation. It is found that the fluctuation solutions in single-sphere and double-sphere compactification can reach stable state, and this conclusion is in good agreement with the stability results of scalar field potential energy, thus the fluctuations of metric in space-time can lead masses generation of K-K particle.