论文标题
协调自相互作用矢量场理论的奇异性
Coordinate singularities of self-interacting vector field theories
论文作者
论文摘要
自我交互的向量看到了一系列的兴趣,其中各组都证明了田间演变在有限的时间内结束。已经提供了两个非务必的标准来确定此细分:(i)向量约束方程无法在发生故障的点之外满足,(ii)动力学受到有效的度量,该指标在分解时变得单数。我们表明(i)识别坐标奇异性,可以通过更改坐标来消除。因此,它不能表示物理问题,也无法确定理论的有效性。
Self-interacting vectors are seeing a burst of interest where various groups demonstrated that the field evolution ends in finite time. Two nonequivalent criteria have been offered to identify this breakdown: (i) the vector constraint equation cannot be satisfied beyond a point where the breakdown occurs, (ii) the dynamics is governed by an effective metric that becomes singular at the breakdown. We show that (i) identifies a coordinate singularity, and can be removed by a change of coordinates. Hence, it does not signify a physical problem, and cannot determine the validity of a theory.