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arXiv 1005.3480hep-th
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在规范不变电动力学的框架中容纳大量光子是否可能?

Is it possible to accommodate massive photons in the framework of a gauge-invariant electrodynamics?

M. V. S. Fonseca, A. A. Vargas-Paredes

摘要:

另一种电磁理论的建设,保持洛伦兹和规范对称性,被认为是。我们首先建立麦克斯韦电动力学在(3+1)D的假设,相关的拉格朗日是规范不变的功能,取决于电子和光子场和他们的第一导数。在这种情况下,众所周知,不可能建立一个包含一个大质量光子的洛伦兹不变量规范理论。然而,我们表明,存在两个根本不同的电动力学,即陈-西蒙斯和波多尔斯基配方,在这个问题可以克服。前者只在奇数维时空中有效,而后者则需要在拉格朗日量中存在规范场的高阶导数。这个理论,通常被称为波多尔斯基电动力学,同时是规范和洛伦兹不变量;此外,它包含一个大质量的光子。因此,一个大质量的光子,不像流行的信念,可以充分容纳在规范不变的电动力学的背景下。

英文摘要:

The construction of an alternative electromagnetic theory that preserves Lorentz and gauge symmetries, is considered. We start off by building up Maxwell electrodynamics in (3+1)D from the assumption that the associated Lagrangian is a gauge-invariant functional that depends on the electron and photon fields and their first derivatives only. In this scenario, as well-known, it is not possible to set up a Lorentz invariant gauge theory containing a massive photon. We show nevertheless that there exist two radically different electrodynamics, namely, the Chern-Simons and the Podolsky formulations, in which this problem can be overcome. The former is only valid in odd space-time dimensions, while the latter requires the presence of higher-order derivatives of the gauge field in the Lagrangian. This theory, usually known as Podolsky electrodynamics, is simultaneously gauge and Lorentz invariant; in addition, it contains a massive photon. Therefore, a massive photon, unlike the popular belief, can be adequately accommodated within the context of a gauge-invariant electrodynamics.

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