Dirac field of Kaluza-Klein theory in Weitzenbock space

摘要

The Dirac equation in five-dimensional Weitzenbock space is dervied. The effect of spin-spin interaction induced by torsion is revealed by use of the Dirac equation in the weak field situation. A comparison is made of the Dirac equation of Kaluza-Klein theory in three types of spaces. It is concluded that, from the point of view of simplicity, the Weitzenbock space is the most suitable one for establishing Kaluza-Klein theory. References: 13