# FEYNMAN RULES FOR THE GRAVITATIONAL FIELD FROM THE COORDINATE INDEPENDENT FIELD THEORETIC FORMALISM

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- DOI: 10.1103/PhysRev.175.1604
- OAI: oai:inspirehep.net:53084
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- INSPIRE-HEP
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## Abstract

By using the method developed in the preceding paper, the Feynman-DeWitt perturbation expansion for the gravitational S matrix is shown to follow from the field-theoretic formalism. Again our methd is to express the path-dependent Green's functions in terms of auxiliary, path-independent Green's functions, in such a way that the path-dependence equation is automatically satisfied. The formula relating the path-dependent to the path-independent Green's functions will be similar to the classical formula relating the path-dependent Riemann tensor to the metric tensor. The equations for the auxiliary Green's functions are found and solved in a perturbation series. If the result is expressed as a sum of Feymann diagrams, one obtains the expected vertices, together with closed loops of fictitious vector particles.