On the Super-Renormalizablity of Quantum Gravity in the Linear Approximation

Abstract

We compute the one-loop contributions of the chronological products for massless gravity in the second order of the perturbation theory. We prove that the loop contributions are coboundaries i.e. expressions which give zero when averaged on physical states. We conjecture that such a result should be true in higher orders of the perturbation theory also. This result should make easier the problem of constructive quantum field theory.

23 pages. arXiv admin note: substantial text overlap with arXiv:1301.2893, arXiv:1301.3664; text overlap with arXiv:1505.02367, arXiv:0805.3438, arXiv:1612.04998, arXiv:0711.3986, arXiv:1302.1692

References in corpus (2)

• Cohomological Aspects of Gauge Invariance in the Causal Approach
• Perturbative Gravity in the Causal Approach