论文标题
弱场近似中复合重力的数学结构和物理含量
Mathematical structure and physical content of composite gravity in weak-field approximation
论文作者
论文摘要
弱场对复合重力的自然约束，这是通过在典型的汉密尔顿方法中详细分析了基于Lorentz群体的Yang-Mills理论的量规矢量场来获得的。尽管这种较高的衍生理论涉及大量领域，但只剩下几个自由度，这被认为是基础阳基理论的选定稳定解决方案。约束结构表明，在适当选择的保守电流的情况下，在阳米尔斯理论的溶液中，物质的双重耦合都与杨米尔和四型田磁场之间的选择。提出了标量和张力耦合机制，后者的机制基本上再现了线性化的一般相对论。在弱场近似中，在两个耦合机制中都发现了静态各向同性引力场中的测量颗粒运动。一个重要的问题是适当的Lorentz协变量标准，用于为重复理论选择背景Minkowski系统。
The natural constraints for the weak-field approximation to composite gravity, which is obtained by expressing the gauge vector fields of the Yang-Mills theory based on the Lorentz group in terms of tetrad variables and their derivatives, are analyzed in detail within a canonical Hamiltonian approach. Although this higher derivative theory involves a large number of fields, only few degrees of freedom are left, which are recognized as selected stable solutions of the underlying Yang-Mills theory. The constraint structure suggests a consistent double coupling of matter to both Yang-Mills and tetrad fields, which results in a selection among the solutions of the Yang-Mills theory in the presence of properly chosen conserved currents. Scalar and tensorial coupling mechanisms are proposed, where the latter mechanism essentially reproduces linearized general relativity. In the weak-field approximation, geodesic particle motion in static isotropic gravitational fields is found for both coupling mechanisms. An important issue is the proper Lorentz covariant criterion for choosing a background Minkowski system for the composite theory of gravity.
