论文标题

非线性(手性)P形电动力学

Nonlinear (chiral) p-form electrodynamics

论文作者

Avetisyan, Zhirayr, Evnin, Oleg, Mkrtchyan, Karapet

论文摘要

在我们上一篇文章的物理中。莱特牧师。 127(2021)271601,我们在四个维度上宣布了一种新型的“民主”拉格朗日式,对一般非线性电动力学的一般性表达,具有相等地位的电力和磁性电位。在这里,我们对这种新的形式主义进行了扩展,更详细的描述,然后通过在任意维度上构建相应的较高形式领域相互作用的拉格朗日理论,从而进一步推动它。特别注意4K+2个维度中手性2K形式的相互作用,并在6个维度上提供2型的进一步细节,而在10个维度中有4型。我们更广泛地评论手性领域运动方程的结构,以及在这种情况下我们的拉格朗日理论的位置。我们开发的拉格朗日理论是简单明了的,并且涵盖了比文献中所有过去尝试的更广泛的互动类别。

In our previous article Phys. Rev. Lett. 127 (2021) 271601, we announced a novel 'democratic' Lagrangian formulation of general nonlinear electrodynamics in four dimensions that features electric and magnetic potentials on equal footing. Here, we give an expanded and more detailed account of this new formalism, and then proceed to push it significantly further by building the corresponding Lagrangian theories of higher form field interactions in arbitrary dimensions. Special attention is given to interactions of chiral 2k-forms in 4k+2 dimensions, with further details for 2-forms in 6 dimensions and 4-forms in 10 dimensions. We comment more broadly on the structure of covariant equations of motion for chiral fields, and on the place of our Lagrangian theories in this context. The Lagrangian theories we develop are simple and explicit, and cover a much broader class of interactions than all past attempts in the literature.

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