The path integral measure, constraints and ghosts for massive gravitons with a cosmological constant

Details The path integral measure, constraints and ghosts for massive gravitons with a cosmological constant The path integral measure, constraints and ghosts for massive gravitons with a cosmological constant

2009-07-24

arxiv.org/abs/0907.4266v3

Phys.Rev.D80:124029,2009

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 10 pages, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.80.124029

For massive gravity in a de Sitter background one encounters problems of stability when the curvature is larger than the graviton mass. I analyze this situation from the path integral point of view and show that it is related to the conformal factor problem of Euclidean quantum (massless) gravity. When a constraint for massive gravity is incorporated and the proper treatment of the path integral measure is taken into account one finds that, for particular choices of the DeWitt metric on the space of metrics (in fact, the same choices as in the massless case), one obtains the opposite bound on the graviton mass.

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