多辛场论中对称性的进一步见解
数学物理
2023-02-03 v2 高能物理 - 理论
math.MP
摘要
本工作对经典场论与（预）多辛几何中对称性的处理进行了总体概述。阐明了理论物理学中对称性的解释方式与这些理论的几何表述方式之间关系的几何特征。最后，对奇异场论中出现约束时对称性的结构给出了一般性讨论。通过构造相关的多动量映射（即（预）多辛相空间上由诺特定理给出的守恒量），分析了理论物理中若干典型理论的对称性。
引用
@article{arxiv.2301.01255,
title = {More insights into symmetries in multisymplectic field theories},
author = {Arnoldo Guerra and Narciso Román-Roy},
journal= {arXiv preprint arXiv:2301.01255},
year = {2023}
}
备注
A Section of "Conclusions" is added. Some mathematical expressions on p. 23 are corrected. Other changes after "peer reviewing" have been made. New references are added. This paper reviews some of the content of previous works arXiv:1610.08689 [math-ph], 2107.08846 [math-ph], and 2210.07698 [math-ph], providing new contributions that expand the results of these references. 37 pages