论文标题
多核场理论中的几何量规自由
Geometric Gauge Freedom in Multisymplectic Field Theories
论文作者
论文摘要
我们利用M. Gotay和J. Nester的工作的启发，使用预制形式的内核来对其解决方案进行分类。在变异的额定形式的情况下，存在一个等效关系，该关系将通用分布中的解决方案分类为称为扩展的解决方案。我们还提出了部分的等价关系，并为系统减少程序。我们将此结果应用于力学，电磁和公制重力，并将其与其他规格自由概念进行比较。
We use the kernel of a premultisymplecic form to classify its solutions, inspired by the work of M. Gotay and J. Nester. In the case of variational premultisymplectic forms, there is an equivalence relation which classify the solutions in general distributions called expanded solutions. We also present an equivalence relation for sections and a reduction procedure for the system. We apply this results to mechanics, electromagnetism and Metric-Affine gravity, and compare them with other notions of gauge freedom.
