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arXiv · 2211.11823

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

Hans Christian Öttinger
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Abstract

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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Hans Christian Öttinger. 2022-11-21. Conserved Currents for the Gauge-Field Theory with Lorentz Symmetry Group. https://arxiv.org/abs/2211.11823

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