论文标题
非相关旋转粒子与重力的非相关旋转粒子的规范公式
Canonical Formulation for a Non-relativistic Spinning Particle Coupled to Gravity
论文作者
论文摘要
我们系统地得出了在平坦背景下的非同性主义旋转党的动作，并在Lagrangian和Hamiltonian方法中讨论了其规范的表述。该动作被视为在弯曲背景中得出相应动作的起点。它是通过遵循我们最近开发的定位技术来实现的，该技术将平面的galilean对称性\ cite {bmm1，bmm3，bmm2}实现。自然而然地获得了旋转粒子与牛顿 - 卡丹背景的耦合。与早期发现一致，发现运动方程与测量方程不同。扁平空间极限和无旋转理论（在弯曲背景中）的结果都得到了再现。具体而言，在后一种情况下，也获得了测量方程。
We systematically derive an action for a nonrelativistic spinning partile in flat background and discuss its canonical formulation in both Lagrangian and Hamiltonian approaches. This action is taken as the starting point for deriving the corresponding action in a curved background. It is achieved by following our recently developed technique of localising the flat space galilean symmetry \cite{BMM1, BMM3, BMM2}. The coupling of the spinning particle to a Newton-Cartan background is obtained naturally. The equation of motion is found to differ from the geodesic equation, in agreement with earlier findings. Results for both the flat space limit and the spinless theory (in curved background) are reproduced. Specifically, the geodesic equation is also obtained in the latter case.
