论文标题
评论“在弱重力领域中的卡西米尔效应：施温格的方法”
Comment on "Casimir effect in a weak gravitational field: Schwinger's approach"
论文作者
论文摘要
我们证明了F. Sorge [class。量子。坟墓。 36，No.23，235006（2019）]，Casimir效应因重力而获得的二阶校正是不一致的。我们特别评论了适当的时间哈密顿量的追踪，其中正确的程序是使用协变量达勒姆特人的特征和特征值。经过一些取消后，我们发现功能W [0]的值与Sorge获得的值相同。但是，我们认为正确的真空能量密度携带额外的时空体积项，这些额外的时空量项会在重力校正中取消，从而返回与Minkowski时空相同的表达。
We show that the statement in F. Sorge [Class. Quant. Grav. 36, no.23, 235006 (2019)] that the Casimir effect receives second order corrections due to gravity is not consistent. We remark especially on the tracing of the proper time Hamiltonian, where the correct procedure is to use the eigenfunctions and eigenvalues of the covariant DAlembertian. After some cancellations we find that the value of the functional W [0] is the same as obtained by Sorge. However, we argue that the proper vacuum energy density carries extra space-time volume terms that cancel over the gravitational correction, returning to the same expression as in Minkowski space-time.
