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

Abstract

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.

22 pages, minor typo corrected, published version

References in corpus (4)

• Space-time Evolution and CMB Anisotropies from Quantum Gravity
• Background Free Quantum Gravity based on Conformal Gravity and Conformal Field Theory on M^4
• BRST Analysis of Physical Fields and States for 4D Quantum Gravity on R x S^3
• Renormalizable 4D Quantum Gravity as A Perturbed Theory from CFT

Cited by in corpus (8)

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• Two-Loop Quantum Gravity Corrections to Cosmological Constant in Landau Gauge
• RG Analysis for Quantum Gravity with A Single Dimensionless Coupling
• Diffeomorphism Invariance Demands Conformal Anomalies
• Physical Cosmological Constant in Asymptotically Background Free Quantum Gravity
• Localized massive excitation of quantum gravity as a dark particle
• General Formalism For the BRST Symmetry
• Gauge Theory on a Four Sphere