论文标题

轻度电磁层中的残留量规对称性

Residual gauge symmetry in light-cone electromagnetism

论文作者

Majumdar, Sucheta

论文摘要

我们在四个维度上分析了轻型电磁作用中的残留量规自由。所谓的$ LC_2 $形式主义中涉及的标准边界条件仅包含两个物理自由度,允许一部分残留量规变换。我们放宽了在田地上施加的边界条件,以获得所有残留量规变换。我们通过这些松弛的边界条件计算用于庞加莱和仪表转换的规范发电机。这使我们能够区分轻度电磁词中的微不足道(适当)和大(不当(不当)仪表变换。然后,我们利用纽曼 - 培训形式主义来识别传入和即将发出的辐射场。我们对轻锥汉密尔顿人的二次形式结构发表评论,经常以$ LC_2 $量表理论遇到。

We analyze the residual gauge freedom in light-cone electromagnetism in four dimensions. The standard boundary conditions involved in the so-called $lc_2$ formalism, which contains only the two physical degrees of freedom, allow for a subset of residual gauge transformations. We relax the boundary conditions imposed on the fields in order to obtain all the residual gauge transformations. We compute the canonical generators for Poincaré and gauge transformations with these relaxed boundary conditions. This enables us to distinguish between the trivial (proper) and large (improper) gauge transformations in light-cone electromagnetism. We then employ the Newman-Penrose formalism to identify the incoming and outgoing radiation fields. We comment on the quadratic form structure of light-cone Hamiltonians, often encountered in $lc_2$ gauge theories.

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