The linearization of the Kodama state

Details The linearization of the Kodama state The linearization of the Kodama state

2003-10-23

arxiv.org/abs/hep-th/0310224v3

Class.Quant.Grav. 21 (2004) 3831-3844

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, statement on the corresponding Yang-Mills case corrected

Scientific paper

10.1088/0264-9381/21/16/001

We study the question of whether the linearization of the Kodama state around classical deSitter spacetime is normalizable in the inner product of the theory of linearized gravitons on deSitter spacetime. We find the answer is no in the Lorentzian theory. However, in the Euclidean theory the corresponding linearized Kodama state is delta-functional normalizable. We discuss whether this result invalidates the conjecture that the full Kodama state is a good physical state for quantum gravity with positive cosmological constant.

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