论文标题
de Sitter Spacetime中复杂标量字段的unuh-dewitt检测器响应
Unruh-DeWitt detector responses for complex scalar fields in de Sitter spacetime
论文作者
论文摘要
我们在$（3+1）$ -Dimensional cosmological de Sitter SpaceTime中得出了一个连接到复杂标量场$ ϕ $的共同旋转，圆点粒子探测器的响应函数。磁场 - 检测器耦合被认为与$ ϕ^{\ Dagger} ϕ $成比例。我们分别在保形和束davies真空中分别解决了共形的不变和无质量耦合的标量场理论。毫不奇怪的是，无质量的最小复杂标量的响应函数积分显示出差异，因此我们使用合适的正则化方案来找出表现良好的结果。正则化结果还包含De Sitter对称打破对数，随着宇宙学的时间而生长。讨论了将这些结果扩展的可能性，并讨论了所谓的DE Sitter $α$ -VACUA。尽管我们在计算这些真空中的真实标量的响应函数时没有发现明显的问题，但显示一个复杂的标量场显示在检测器响应中包含一些可能的歧义。还简要讨论了最小和几乎无质量的标量场理论的情况。
We derive the response function for a comoving, pointlike Unruh-DeWitt particle detector coupled to a complex scalar field $ϕ$, in the $(3+1)$-dimensional cosmological de Sitter spacetime. The field-detector coupling is taken to be proportional to $ϕ^{\dagger} ϕ$. We address both conformally invariant and massless minimally coupled scalar field theories, respectively in the conformal and the Bunch-Davies vacuum. The response function integral for the massless minimal complex scalar, not surprisingly, shows divergences and accordingly we use suitable regularisation scheme to find out well behaved results. The regularised result also contains a de Sitter symmetry breaking logarithm, growing with the cosmological time. Possibility of extension of these results with the so called de Sitter $α$-vacua is discussed. While we find no apparent problem in computing the response function for a real scalar in these vacua, a complex scalar field is shown to contain some possible ambiguities in the detector response. The case of the minimal and nearly massless scalar field theory is also briefly discussed.
