FEYNMAN RULES FOR THE GRAVITATIONAL FIELD FROM THE COORDINATE INDEPENDENT FIELD THEORETIC FORMALISM
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Abstract: (APS)
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.- QUANTUM GRAVITY
- FEYNMAN GRAPH
- general relativity
- INVARIANCE: GAUGE
- S-MATRIX
- PERTURBATION THEORY: HIGHER-ORDER
- FIELD EQUATIONS
- N-POINT FUNCTION
- VERTEX FUNCTION
- GAUGE FIELD THEORY
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