BRST Invariant Higher Derivative Operators in 4D Quantum Gravity based on CFT

Details BRST Invariant Higher Derivative Operators in 4D Quantum Gravity based on CFT BRST Invariant Higher Derivative Operators in 4D Quantum Gravity based on CFT

2012-03-22

arxiv.org/abs/1203.4894v2

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, minor typo corrected

Scientific paper

We continue the study of physical fields for the background free 4D quantum gravity based on the Riegert-Wess-Zumino action, developed in Phys. Rev. D {\bf 85} (2012) 024028. The background free model is formulated in terms of a certain conformal field theory on M^4 in which conformal symmetry arises as gauge symmetry, namely diffeomorphism invariance. In this paper, we construct the physical field operator corresponding to any integer power of Ricci scalar curvature in the context of the BRST quantization. We also discuss how to define the correlation function and its physical meanings.

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