RENORMALIZATION OF A CLASSICAL GRAVITATIONAL FIELD INTERACTING WITH QUANTIZED MATTER FIELDS
Abstract
The behavior of the mean value of the energymomentum tensor of a set of quantized matter fields interacting with a classical gravitational field which is, in turn, produced by this mean value, is investigated. The singularities involved in the energy-momentum tensor correspond to divergences of three different orders. These orders can be removed by the introduction of counter terms into Einstein's equation. The gravitational Green's function corresponding to this semiclassical approximation to the fully quantized theory is found to have the asymptotic behavior 1/p to the 4th power instead of 1/p squared, and thus to have a much weaker singularity in the coordinate representation than the Green's function of the bare linearized theory. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1961
- Accession Number
- AD0269910
Entities
People
- Bryce S. Dewitt
- Ryoyu Utiyama
Organizations
- University of North Carolina at Chapel Hill