论文标题

古典爱因斯坦 - 杨米尔斯理论的新方法

A new approach to classical Einstein-Yang-Mills Theory

论文作者

Salisbury, Donald

论文摘要

传统的Rosenfeld-Bergmann-Dirac限制了对Einstein-Yang-Mills理论应用的汉密尔顿算法,被证明与Cartan不变性积分方法对经典力学的局部理论扩展相当。此外,Legendre-Projection时空的差异和量规对称性的Hamiltonian发电机直接导致了Noether电荷的消失。这直接导致了它们的解释,因为它们提供了配置和动量长石变量的正确对称变化。

The conventional Rosenfeld-Bergmann-Dirac constrained Hamiltonian algorithm applied to Einstein-Yang-Mills theory is shown to be equivalent to a local gauge theoretic extension of Cartan's invariant integral approach to classical mechanics. In addition, the Hamiltonian generators of Legendre-projectable spacetime diffeomorphism and gauge symmetries are derived directly as vanishing Noether charges. This leads directly to their interpretation as delivering the correct symmetry variations of both configuration and momentum feld variables.

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