On the relation of infinitesimal particle propagator to the nature of mass

Abstract

The finite particle propagator can be constructed by a path integral method provided the infinitesimal propagator is known. Hitherto, however, it has not been possible to specify the relativistic infinitesimal propagator except in an ad hoc way. From consideration of the nature of mass, in a Maehian cosmological sense, it is shown in the present paper that the infinitesimal propagator can be derived in relativistic quantum mechanics by a method similar to that used in the nonrelativistie path integral.