On the Quantum Field Theory of the Interaction between the Graviton and the Matter Field, II

Publisher Website
Google Scholar
Abstract
The quantum theory of Einstein's linear gravitational field interacting with the elementary particles is formulated without using the coordinate condition. The canonical formalism is built up by the Dirac method of generalized Hamiltonian dynamics. It is necessary, for the requirement of being quantized in a consistent way, that the operation of creation of a spinor particle must involve the simultaneous creation of a spinor particle and of the gravitational potential around it. We show that this procedure of the quantization corresponds to the method extended from the Yang-Feldman's in the previous paper. In the Heisenberg representation, we decompose, in the usual covariant way, the gravitational field into three parts: the transverse graviton, the gravitational potential between the matters, and the part which cannot be quantized. And also the formalism in the Heisenberg representation is transformed into the one in the interaction representation, and the same interaction Hamiltonian is obtained as in the previous paper.

This publication has 0 references indexed in Scilit: