论文标题
仪表对称性的形状动力学
Gauge Symmetry in Shape Dynamics
论文作者
论文摘要
C. N. Yang关于局部规格对称性和不可融合阶段的观念已成为基本物理学和物质量子理论中灵感的极大肥沃来源。它们也自然出现在描述可变形物体的动力学时。在这里,我以前的讨论将变形物体的仪表对称性在多个方向上进行,带来了任意数量的维度,一般时间依赖性,保护定律和绝热残差。我简要地指出了概念框架的其他潜在应用。
C. N. Yang's ideas about local gauge symmetry and non-integrable phases have been enormously fertile sources of inspiration in fundamental physics and in the quantum theory of matter. They also arise naturally in describing the dynamics of deformable bodies. Here I extend previous discussions of the gauge symmetry of deformable bodies in several directions, bringing in an arbitrary number of dimensions, general time-dependence, conservation laws and adiabatic residuals. I briefly indicate other potential applications of the conceptual framework.