English

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

High Energy Physics - Theory 2013-05-30 v3 General Relativity and Quantum Cosmology Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1203.4894,
  title  = {BRST Invariant Higher Derivative Operators in 4D Quantum Gravity based on CFT},
  author = {Ken-ji Hamada},
  journal= {arXiv preprint arXiv:1203.4894},
  year   = {2013}
}

Comments

22 pages, minor typo corrected, published version

R2 v1 2026-06-21T20:38:09.728Z