论文标题
具有动态边界条件和CASIMIR效应的量子场理论：连贯状态
Quantum field theory with dynamical boundary conditions and the Casimir effect: Coherent states
论文作者
论文摘要
我们已经在先前的工作中研究了混合体型系统的量化，该系统描述了限制在具有有限空间切片和及时边界的时空的散装量子场之间的耦合动力学，以及在边界上定义的边界可观察到的边界。我们的批量系统是一个时空中的量子场，具有时机等边界和动态边界条件 - 可观察到的运动方程。由于重要的物理动机，在以前的工作中，我们为块状量子场和可观察到的边界的局部状态极化和局部CASIMIR能量计算在基态和吉布斯状态下的边界。在这项工作中，我们针对这种混合体系系统介绍了相干和热相干状态的适当概念，并将我们先前对重新归一化的局部状态极化和局部Casimir能量的研究扩展到连贯和热相干状态。我们还为综合的Casimir能量和Casimir力提供了数值结果。
We have studied in a previous work the quantization of a mixed bulk-boundary system describing the coupled dynamics between a bulk quantum field confined to a spacetime with finite space slice and with timelike boundary, and a boundary observable defined on the boundary. Our bulk system is a quantum field in a spacetime with timelike boundary and a dynamical boundary condition-the boundary observable's equation of motion. Owing to important physical motivations, in such previous work we have computed the renormalized local state polarization and local Casimir energy for both the bulk quantum field and the boundary observable in the ground state and in a Gibbs state at finite, positive temperature. In this work, we introduce an appropriate notion of coherent and thermal coherent states for this mixed bulk-boundary system, and extend our previous study of the renormalized local state polarization and local Casimir energy to coherent and thermal coherent states. We also present numerical results for the integrated Casimir energy and for the Casimir force.
