Finally, we investigate the temperature dependence of the vacuum expectation in this model by using finite temperature field theory in order to examine whether the chiral symmetry can restore. 然后我们使用有限温场论对该模型中的真空期待值随温度变化的情况进行了研究,以此讨论手征相变是否恢复问题。
We find that although the vacuum expectation approach zero with increasing temperature, the chiral phase transition does not happen, so the system remains the spontaneous breaking of chiral symmetry. 我们发现,在该模型下,尽管真空期待值随温度升高而接近于零,手征相变没有发生,即系统始终处于手征对称性破坏的情形下。
The vacuum expectation little affects the QNMs of large black hole with a global monopole. 大黑洞似正模的值与真空涨落值的大小关系不大。
This is reflected in the fact that the vacuum expectation value of the field squared is nonzero in quantum field theory. Therefore there exist the so called vacuum fluctuations. 这反映在量子场论中场量平方的真空平均值不为零,这就是所谓的真空涨落。
When the vacuum expectation value of the scalar field is approximately equal to a constant owing to the spontaneous symmetry breaking, we find a anisotropic de Sitter cosmological solution. The expansion isotropization is automatically obtained by this vacuum inflation. 由于对称性的自发破缺,在标量场的真空期待值近似为常数时,得到各向不同性的DeSitter解,这种真空暴胀将自行导致早期宇宙空间的各向同性化。