External gravitational interactions in quantum field theory

✍ Scribed by Daniel Z Freedman; So-Young Pi

• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 429 KB
• Volume: 91
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(75)90230-4

✦ Synopsis

We consider the renormalization of Green's functions of X@ quantum field theory in an external gravitational field specified by the metric tensor gfi%). Green's functions rcn,j' describing the interaction of j scalar particles to arbitrary order n in the gravitational field are shown to be made finite by the standard renormalizations of the flatspace theory and a renormalization of the coefficient of the improvement term in the action functional. These results in 4" theory can be extended to all renormalizable field theories.