arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1008.2677physics.gen-phgr-qc
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共形规范相对论--论引力场与规范场的几何统一

Conformal Gauge Relativity - On the Geometrical Unification of Gravitation and Gauge Fields

Juan Andres Musante

摘要:

给出了一个依赖于几何变量(度规、仿射联络、规范群生成元)的拉格朗日量,它与广义相对论相容。它产生了电磁学和其他规范场以及引力的动力学,同时它为连续物质的应力-能量张量提供了几何基础。揭示了这种积分下的几何不变原理,并得到了相应的场方程。该理论是在四维实流形的切空间上发展的,生成元成为齐次洛伦兹群的生成元。

英文摘要:

A Lagrangian depending on geometric variables (metric, affine connection, gauge group generators) is given which maintains compatibility with General Relativity. It generates the dynamics for Electromagnetism and other Gauge Fields along with Gravitation, at the time it gives a geometric foundation for the stress-energy tensor of continuous matter. The geometric-invariance principle under this integration is exposed and the resulting field equations are obtained. The theory is developed over the tangent space of a four-dimensional real manifold and the generators become those from the Homogenous Lorentz group.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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