标题： 用SO(1,3)规范引力的自旋-1/2粒子 显示英文标题

标题： Gauging gravity with SO(1,3) for spin-1/2 particles

摘要： 我们通过与电磁学类比表明，引力理论中的几何内容是由于所涉及的规范群是洛伦兹群SO(1,3)这一事实的间接结果。因此，我们基于规范考虑构造了引力场中引力和自旋1/2粒子的场方程。此外，我们推导了该粒子在引力场中狄拉克方程的弱场和薛定谔极限，特别是在费米法向坐标系和克尔度规的赤道平面上，随后我们识别出与电磁势A和Φ相对应的项。 显示英文摘要

摘要： We demonstrate, by analogy with electromagnetism, that the geometric content in the theory of gravity is an indirect consequence of the fact that the gauge group in question is the Lorentz group SO(1,3). We hence construct field equations for gravity and a spin-1/2 particle in a gravitational field based on gauge considerations. Furthermore, we derive the weak field and Schroedinger limits of the Dirac equation of the particle in the gravitational field, especially in Fermi normal coordinates and on the equatorial plane of the Kerr geometry, following which we identify the terms to which the electromagnetic potentials A and Phi are analogous.