标题： 带电量子刚性膜 显示英文标题

标题： Quantum charged rigid membrane

摘要： 回顾了早期狄拉克提出将电子建模为带电膜的提案。 在建模电磁场存在下的泡时，在作用量中考虑了一项刚性项，这项刚性项涉及线性地包含膜扫过的世界体积的外在曲率，而不是自然的膜张力。 我们通过考虑一个非平凡的边界项来建立这个模型作为真正的二阶导数理论，该边界项在我们的公式化过程中起着重要作用。 所讨论的拉格朗日量在泡加速度上是线性的，并且通过奥斯特罗格斯基-哈密顿方法我们观察到该理论包括一阶和二阶约束的处理。 因此，我们展示了这种二阶方法是稳健的，允许适当的量子化。 我们发现了一个有效的量子势，可以用来计算系统的有界状态。 我们评论了通过引入这种二阶修正项来描述膜世界宇宙的可能性。 显示英文摘要

摘要： The early Dirac proposal to model the electron as a charged membrane is reviewed. A rigidity term, instead of the natural membrane tension, involving linearly the extrinsic curvature of the worldvolume swept out by the membrane is considered in the action modeling the bubble in the presence of an electromagnetic field. We set up this model as a genuine second-order derivative theory by considering a non-trivial boundary term which plays a relevant part in our formulation. The Lagrangian in question is linear in the bubble acceleration and by means of the Ostrogradski-Hamiltonian approach we observed that the theory comprises the management of both first- and second-class constraints. We show thus that our second-order approach is robust allowing for a proper quantization. We found an effective quantum potential which permits to compute bounded states for the system. We comment on the possibility of describing brane world universes by invoking this kind of second-order correction terms.