论文标题
三角洲电位的有效行动：时空依赖性不均匀性和Casimir自我能源
Effective action for delta potentials: spacetime-dependent inhomogeneities and Casimir self-energy
论文作者
论文摘要
我们研究了具有稀薄且不均匀的平镜的存在，并以增量电位建模。使用热内核技术，我们在不均匀性（在恒定背景下非扰动）中对欧几里得有效作用进行了扰动。我们表明，差异可以吸收到局部反术中，其余有限部分通常是不均匀性的非本地功能，我们在$ d = 4 $尺寸中明确地对其进行了明确计算。对于时间无关的不均匀性，有效的作用为部分传输镜提供了Casimir的自我能源。对于时间依赖性的不均匀性，由于动态casimir效应，灯芯旋转的有效作用给出了粒子创造的可能性。
We study the vacuum fluctuations of a quantum scalar field in the presence of a thin and inhomogeneous flat mirror, modeled with a delta potential. Using Heat-Kernel techniques, we evaluate the Euclidean effective action perturbatively in the inhomogeneities (nonperturbatively in the constant background). We show that the divergences can be absorbed into a local counterterm, and that the remaining finite part is in general a nonlocal functional of the inhomogeneities, which we compute explicitly for massless fields in $D=4$ dimensions. For time-independent inhomogeneities, the effective action gives the Casimir self-energy for a partially transmitting mirror. For time-dependent inhomogeneities, the Wick-rotated effective action gives the probability of particle creation due to the dynamical Casimir effect.
