论文标题
从零减少的伽利亚仪表理论
Galilean Gauge Theories from Null Reductions
论文作者
论文摘要
缩小过程提供了一种使用伽利亚不变性构建场理论的具体方式。我们用它来检查伽利亚仪理论，即。时空维度3和4中的Galilean电动力学和Yang-Mills理论。在这些情况下，出现了不同的非权利性共形对称性：$ d = 3 $中的Schr {Ö}滴注对称性，而Galilean Conformalsymal symetry in $ d = 4 $。规范分析进一步表明，对称性增强了相位空间中无限的尺寸版本并拾取中央扩展。此外，对于阿贝尔理论，我们讨论了$ d = 3 $的非权利主义电磁双重性，并且与$ d = 4 $版本的差异。我们还提到了亚伯式和非阿贝尔理论的一些量子方面。
The procedure of null reduction provides a concrete way of constructing field theories with Galilean invariance. We use this to examine Galilean gauge theories, viz. Galilean electrodynamics and Yang-Mills theories in spacetime dimensions 3 and 4. Different non-relativistic conformal symmetries arise in these contexts: Schr{ö}dinger symmetry in $d=3$ and Galilean conformal symmetry in $d=4$. A canonical analysis further reveals that the symmetries enhance to their infinite dimensional versions in phase space and pick up central extensions. In addition, for the Abelian theory, we discuss non-relativistic electro-magnetic duality in $d=3$ and its difference with the $d=4$ version. We also mention some quantum aspects for both Abelian and non-Abelian theories.
