论文标题

用Lorentz对称组的量规场理论的保守电流

Conserved Currents for the Gauge-Field Theory with Lorentz Symmetry Group

论文作者

Öttinger, Hans Christian

论文摘要

对于使用Lorentz对称组的Yang-Mills-type量规域理论,我们根据能量量张量提出并验证保守电流的显式表达。至关重要的成分是假设量规对称性是由公制在四变量方面的分解而产生的。这些电流存在于能量量张量和ricci张量通勤的弱条件下。我们展示了如何使用保守的电流来获得重力理论,并讨论静止点质量周围的静态各向同性场。

For the Yang-Mills-type gauge-field theory with Lorentz symmetry group, we propose and verify an explicit expression for the conserved currents in terms of the energy-momentum tensor. A crucial ingredient is the assumption that the gauge symmetry arises from the decomposition of a metric in terms of tetrad variables. The currents exist under the weak condition that the energy-momentum tensor and the Ricci tensor commute. We show how the conserved currents can be used to obtain a composite theory of gravity and discuss the static isotropic field around a point mass at rest.

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