Poincaré引力规范场和1/2自旋粒子的运动

木文以Poinaré群作为引力规范群,在有挠率和曲率的空间中,讨论了当引力拉氏量包含场强的线性项与二次项时体系的运动方程,指出球对称真空静引力场方程在“宏观”极限下可以得到Schwarzchild解,因此它与目前关于广义相对论的实验验证是一致的,但在“微观”极限下,方程预示着一种新的短程作用,讨论了自旋1/2的粒子作为检测粒子在这种球对称真空静场中的运动,指出运动方程只与仿射联络的黎曼部分有关,并和广义相对论的相应方程具有同样的形式。关键词：

POINCARé GAUGE FIELD OF GRAVITATION AND THE MOTION OF SPIN 1/2 PARTICLE

The Poincaré group is adapted as the gravitational gauge group. The equation of gravitational field in the Reimann-Cartan space-time with a Lagrangian containing linear and quadratic terms of strengths is investigated. For static and spherically symmetric field the vacuum solution in the macroscopic limit is shown to correspond to Schwar-zchild solution. Therefore this is in agreement with the experiments for general relativity. But in the microscopic limit, the field equation may predict a new type of short-range interaction.The spin 1/2 particle, Dirac particle, is taken as a probing particle. Its motion in the vacuum static and spherically symmetric gravitation field is explored. As a result, it is shown that the equation of motion of the Dirac particle only depends upon the Reimannian part of affine connection and has the same form as the corresponding equation of general relativity.