论文标题

因此(1,3)Minkowski空间上的Yang-Mills解决方案通过cosets

SO(1,3) Yang-Mills solutions on Minkowski space via cosets

论文作者

Kumar, Kaushlendra

论文摘要

我们在Minkowski空间上介绍了一个新型的Yang-Mills解决方案(1,3)的Yang-Mills解决方案家族,并在几何分为几类中分为两个类别,即。灯酮的内部和外部。我们通过用SO(1,3)/SO(3)coset和So(1,3)/So(1,2)coset和后者散发前者,并通过分析求解So(1,3)iNvariant量规场的Yang-Mills方程来实现这一目标。将所得场及其应力能量张量转换为Minkowski空间时,在LightCone处有所不同,但我们证明了由于其独特的代数结构,该应力能量张量如何被正化。

We present a novel family of Yang-Mills solutions, with gauge group SO(1,3), on Minkowski space that are geometrically distinguished into two classes, viz. interior and exterior of the lightcone. We achieve this by foliating the former with SO(1,3)/SO(3) cosets and the latter with SO(1,3)/SO(1,2) cosets and analytically solving the Yang-Mills equation of an SO(1,3)-invariant gauge field. The resulting fields and their stress-energy tensor, when translated to the Minkowski space, diverge at the lightcone, but we demonstrate how this stress-energy tensor could be regularised due to its unique algebraic structure.

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