论文标题
米尔恩宇宙中保形真空的极化
Polarization of the conformal vacuum in the Milne universe
论文作者
论文摘要
在米尔恩宇宙中研究了无质量标量场的场平方的真空预期值（VEV），并具有一般数量的空间尺寸。真空状态取决于在规范量化过程中的模式函数的选择，我们假设该场是在保形真空中制备的。作为第一步，得出了对应于共形和Minkowski真空的Wightman函数差的积分表示。平均场平方和能量弹药张量是在巧合极限下获得的。结果表明，Minkowski真空状态被解释为相对于共形真空的热真空状态。在奇数尺寸空间中的bose-内施泰因类型和费米 - 迪拉克类型的热因子在空间尺寸的数量中。
The vacuum expectation values (VEVs) of the field squared and energy-momentum tensor for a massless scalar field are investigated in the Milne universe with general number of spatial dimensions. The vacuum state depends on the choice of the mode functions in the canonical quantization procedure and we assume that the field is prepared in the conformal vacuum. As the first step an integral representation for the difference of the Wightman functions corresponding to the conformal and Minkowski vacua is derived. The mean field squared and energy-momentum tensor are obtained in the coincidence limit. It is shown that the Minkowski vacuum state is interpreted as a thermal one with respect to the conformal vacuum. The thermal factor is of the Bose-Einstein type in odd dimensional space and of the Fermi-Dirac type in even number of spatial dimensions.
