BRST Analysis of Physical Fields and States for 4D Quantum Gravity on R x S^3

Details BRST Analysis of Physical Fields and States for 4D Quantum Gravity on R x S^3 BRST Analysis of Physical Fields and States for 4D Quantum Gravity on R x S^3

2012-02-21

arxiv.org/abs/1202.4538v2

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, small errors corrected, some explanations and an appendix added

Scientific paper

We consider the background free quantum gravity formulated as conformal gravity with Riegert-Wess-Zumino action in the ultraviolet limit. We construct the nilpotent BRST operator imposing diffeomorphism invariance and analyze physical fields and states on the R x S^3 background employed in practice. With attention to the presence of background charges, various significant properties such as the state-operator correspondence and the norm structure are clarified with some examples. Physical implications to inflationary cosmology are also discussed.

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