论文标题

有限温度casimir效应中的模块化不变性

Modular invariance in finite temperature Casimir effect

论文作者

Alessio, Francesco, Barnich, Glenn

论文摘要

电磁场在Casimir效应设置中的分区函数的温度反演对称性通过打开适应性旋转角动量的纯粹想象的化学潜力,将其扩展到完整的模块化转换。扩展分区函数以真实的分析爱森斯坦序列表示。这些结果在明确显示了麦克斯韦(Maxwell)对平行板和具有周期性边界条件的无质量标量之间的分区函数对等效性的等效性后,这些结果变得透明。

The temperature inversion symmetry of the partition function of the electromagnetic field in the set-up of the Casimir effect is extended to full modular transformations by turning on a purely imaginary chemical potential for adapted spin angular momentum. The extended partition function is expressed in terms of a real analytic Eisenstein series. These results become transparent after explicitly showing equivalence of the partition functions for Maxwell's theory between perfectly conducting parallel plates and for a massless scalar with periodic boundary conditions.

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