Ultraviolet behavior of transverse gravity

Details Ultraviolet behavior of transverse gravity Ultraviolet behavior of transverse gravity

2008-07-08

arxiv.org/abs/0807.1293v1

JHEP0810:023,2008

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

10.1088/1126-6708/2008/10/023

The structure of the divergences for transverse theories of gravity is studied to one-loop order. These theories are invariant only under those diffeomorphisms that enjoy unit Jacobian determinant (TDiff), so that the determinant of the metric transforms as a true scalar instead of a density. Generically, the models include an additional scalar degree of freedom contained in the metric besides the usual spin two component. When the cosmological constant is fine tuned to zero, there are only two theories which are on shell finite, namely the one in which the symmetry is enhanced to the full group of diffeomorphisms, i.e. Einstein's gravity, and another one denoted by WTDiff which enjoys local Weyl invariance. Both of them are free from the additional scalar.

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