法坐标系的性质及应用一例

The properties of normal coordinates and its application

论述了在Poincar啨规范场论中选用径向规范条件等价于选择法坐标系 ,证明了法坐标系中的局部活动标架沿着从原点开始的自平行线构成平行矢量场 .给出了一般坐标与法坐标之间的变换关系 ,再利用这个关系在法坐标系中微扰计算了联络场的一重积分对量子Wilson圈的贡献 .

It is shown that in Poincaré gauge field theories the choice of a radial gauge is equivalent to the use of normal coordinates and of tetrads parallel transported along autoparallel lines starting at the origin. The relation between arbitrary coordinates and normal coordinates is derived. Using the relation in normal coordinates, calculated perturbatively the contribution of the connection field one integral to quantum Wilson loop.