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Gravity: A Gauge Theory Perspective

机译:重力:仪表理论观点

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The evolution of a generally covariant theory is under-determined. One hundred years ago such dynamics had never before been considered; its ramifications were perplexing, its future important role for all the fundamental interactions under the name gauge principle could not be foreseen. We recount some history regarding Einstein, Hilbert, Klein and Noether and the novel features of gravitational energy that led to Noether's two theorems. Under-determined evolution is best revealed in the Hamiltonian formulation. We developed a covariant Hamiltonian formulation. The Hamiltonian boundary term gives covariant expressions for the quasi-local energy, momentum and angular momentum. Gravity can be considered as a gauge theory of the local Poincaré group. The dynamical potentials of the Poincaré gauge theory of gravity are the frame and the connection. The spacetime geometry has in general both curvature and torsion. Torsion naturally couples to spin; it could have a significant magnitude and yet not be noticed, except on a cosmological scale where it could have significant effects.
机译:普遍确定一般协助理论的演变。一百年前,这种动态从未考虑过;它的后果令人困惑,无法预见到名称衡量标准下的所有基本互动的未来重要作用。我们叙述了有关爱因斯坦,希尔伯特,Klein和Noether的一些历史以及引导能力的新颖特征,导致了挪威定理。在Hamiltonian的制剂中最好揭示了不确定的演变。我们开发了一个协变哈密顿的配方。 Hamiltonian界限术语为准局部能量,动量和角动量提供了协变态表达。重力可以被认为是当地庞加雷群的仪表理论。 PoincaréGauge重力理论的动态电位是框架和连接。空间几何形状一般都有曲率和扭转。扭转自然夫妻旋转;除了在可能产生显着效果的宇宙学尺度之外,它可能具有重要的数量且未被注意到。

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