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arXiv · 1202.4538

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

Ken-ji Hamada
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Abstract

We consider the background-free quantum gravity based on conformal gravity with the Riegert-Wess-Zumino action, which is formulated in terms of a conformal field theory. Employing the $R \times S^3$ background in practice, we construct the nilpotent BRST operator imposing diffeomorphism invariance. Physical fields and states are analyzed, which are given only by real primary scalars with a definite conformal weight. 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.

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Ken-ji Hamada. 2012-12-10. BRST Analysis of Physical Fields and States for 4D Quantum Gravity on R x S^3. https://doi.org/10.1103/physrevd.86.124006

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