Symmetry transformations of extremals and higher conserved quantities: Invariant Yang–Mills connections

arXiv: Mathematical Physics Pub Date : 2020-11-23 DOI:10.1063/5.0038533

Luca Accornero, M. Palese

引用次数: 3

Abstract

We characterize symmetry transformations of Lagrangian extremals generating `on shell' conservation laws. We relate symmetry transformations of extremals to Jacobi fields and study symmetries of higher variations by proving that a pair given by a symmetry of the $l$-th variation of a Lagrangian and by a Jacobi field of the $s$-th variation of the same Lagrangian (with $s

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极值和高守恒量的对称变换:不变Yang-Mills联系

我们刻画了拉格朗日极值的对称变换，生成了“壳上”守恒定律。我们将极值的对称变换与Jacobi场联系起来，并通过证明由拉格朗日量的第1次变化的对称和相同拉格朗日量的第5次变化的Jacobi场给出的一对(与$s

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊