1202.4538 (Ken-ji Hamada)

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

Ken-ji Hamada

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.

View original: http://arxiv.org/abs/1202.4538