论文标题

边界量子场理论的Casimir能量:QED情况

The Casimir energy in terms of boundary quantum field theory: the QED case

论文作者

Dudal, David, Pais, Pablo, Rosa, Luigi

论文摘要

我们重新审查了放在QED真空中的两个无限平行板之间Casimir能量的路径积分计算。我们通过约束场实施了完美磁性导体边界条件(作为QCD真空的双重超导体图片的前奏),并显示如何为约束边界场构建有效的轨距理论,从中可以简单地计算出Casimir能量,与通常涉及更多涉及的方法一致。量规不变性在此框架中是自然的,并且结果对$ d $尺寸的概括是自然的。我们还要注意板外部不是真空的情况,而是完美的磁性(超级)导体,不允许板外的任何动力学。我们发现两个设置之间的完美一致性。

We revisit the path integral computation of the Casimir energy between two infinite parallel plates placed in a QED vacuum. We implement perfectly magnetic conductor boundary conditions (as a prelude to the dual superconductor picture of the QCD vacuum) via constraint fields and show how an effective gauge theory can be constructed for the constraint boundary fields, from which the Casimir energy can be simply computed, in perfect agreement with the usual more involved approaches. Gauge invariance is natural in this framework, as well as the generalization of the result to $d$ dimensions. We also pay attention to the case where the outside of the plates is not the vacuum, but a perfect magnetic (super)conductor, disallowing any dynamics outside the plates. We find perfect agreement between both setups.

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