二维静态时空中Dirac场的重正化能动张量和Casimir效应

The renormalized energy-momentum tensor and Casimir effect of Dirac field in two-dimensional static spacetime

在一般渐近平直的二维静态黑洞时空中,利用重正化能动张量的一般性质,对位于两“平行板”间满足Dirichlet条件的无质量Dirac场的重正化能动张量的真空期待值进行了分析和计算,得到了一般表达式.利用该表达式可以给出各种具体渐近平直二维静态黑洞时空中的相应Casimir力.对于重正化能动张量及Casimir力与真空态定义(包括Boulware真空态、Hartle-Hawking真空态和Unrum真空态三种情况)、Hawking辐射和反常迹的关系分别进行了讨论,给出了相应的表达式和计算结果.

The renormalized energy-momentum tensor and Casimir effect of Dirac field in general asymptotic flat two-dimensional black hole backgrounds with Dirichlet boundary conditions arc calculated using the general properties of the rcnormalized energymomentum tensor. The general formulas of the rcnormalized energy-momentum tensor is given and the corresponding Casimir forces in many specific asymptotic flat black hole backgrounds arc obtained. The relations of the rcnormalized energy-momentum tensors and Casimir effect with vacuum, Hawking radiation and trace anomaly are investigated respectively and the corresponding computation results arc obtained.