A Gravity Lagrangian With Ghost Free Curvature**2 Terms
Dec, 197827 pages
Published in:
- Phys.Rev.D 18 (1978) 3535
Report number:
- Print-78-1155 (TEMPLE)
Citations per year
Abstract: (APS)
We construct a gravity theory using a set of Yang-Mills type gauge fields rather than the usual 10 metric fields gμν. This formalism, first proposed by Utiyama and Kibble, allows us to construct a gravity Lagrangian containing six invariants bilinear in the curvature tensor (as well as the usual invariant linear in R). The new terms are of interest since they may absorb some of the divergences which result when gravity is renormalized in the presence of matter. We study the graviton propagator in this theory. Usually, when curvature-squared terms are added to the Lagrangian, ghosts appear in the graviton propagator, and/or its high-energy behavior worsens. In the present case, we find we must drop four of the six invariants in order to avoid such difficulties. One of the surviving invariants predicts the existence of an extremely massive pseudoscalar particle. Neither surviving invariant is of the proper form to absorb renormalization divergences. The present investigation does not fully test the potentialities of the Kibble-Utiyama formalism, since the torsion tensor is nonzero in their framework, and our Lagrangian included no terms constructed from this tensor.- GRAVITATION: QUANTIZATION
- GAUGE FIELD THEORY
- FIELD THEORETICAL MODEL: YANG-MILLS
- GROUP THEORY: LORENTZ
- RENORMALIZATION
- POSTULATED PARTICLE: GRAVITON
- PROPAGATOR: GRAVITON
- BOSON: PSEUDOSCALAR
- BOSON: MASSIVE
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