Gravitons in one-loop quantum cosmology: Correspondence between covariant and noncovariant formalisms
Abstract
The discrepancy between the results of covariant and noncovariant one-loop calculations for higher-spin fields in quantum cosmology is analyzed. A detailed mode-by-mode study of perturbative quantum gravity about a flat Euclidean background bounded by two concentric three-spheres, including nonphysical degrees of freedom and ghost modes, leads to one-loop amplitudes in agreement with the covariant Schwinger-DeWitt method. This calculation provides the generalization of a previous analysis of fermionic fields and electromagnetic fields at one-loop about flat Euclidean backgrounds admitting a well-defined 3+1 decomposition.
- Publication:
-
Physical Review D
- Pub Date:
- November 1994
- DOI:
- 10.1103/PhysRevD.50.6329
- arXiv:
- arXiv:gr-qc/9506066
- Bibcode:
- 1994PhRvD..50.6329E
- Keywords:
-
- 03.70.+k;
- 04.60.Ds;
- 98.80.Hw;
- Theory of quantized fields;
- Canonical quantization;
- General Relativity and Quantum Cosmology
- E-Print:
- 29 pages, latex, recently appearing in Physical Review D, volume 50, pages 6329-6337, November 1994. The authors apologize for the delay in circulating the paper, due to technical problems now fixed