Multivector Fields of Noether Symmetries in the Lagrangian Formalism and Belinfante Tensor

IF 0.5 Q4 PHYSICS, MATHEMATICAL

Journal of Geometry and Symmetry in Physics Pub Date : 2021-11-30 DOI:10.7546/jgsp-61-2021-53-78

H. Loumi-Fergane

引用次数: 0

Abstract

Elsewhere, we gave the explicit expressions of the multivectors fields associated to infinitesimal symmetries which gave rise to Noether currents for classical field theories and relativistic mechanic using the Second Order Partial Differential Equation SOPDE condition for the Poincar\'e-Cartan form.\\ The main objective of this paper is to reformulate the multivector fields associated to translational and rotational symmetries of the gauge fields in particular those of the electromagnetic field which gave rise to symmetrical and invariant gauge energy-momentum tensor and the orbital angular momentum. The spin angular momentum appears however because of the internal symmetry inside the fiber.

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拉格朗日形式和Belinfante张量中Noether对称的多向量场

另外，我们利用二阶偏微分方程SOPDE条件给出了与经典场论和相对论力学中产生诺特流的无穷小对称性相关的多向量场的显式表达式。本文的主要目的是重新表述与规范场的平移和旋转对称性有关的多向量场，特别是电磁场的多向量场，这些多向量场产生对称和不变的规范能量-动量张量和轨道角动量。自旋角动量的出现是由于纤维内部的对称性。

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

Journal of Geometry and Symmetry in Physics PHYSICS, MATHEMATICAL-

CiteScore

1.50

自引率

25.00%

发文量

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