Gravity as a diffeomorphism invariant gauge theory

Details Gravity as a diffeomorphism invariant gauge theory Gravity as a diffeomorphism invariant gauge theory

2011-01-25

arxiv.org/abs/1101.4788v3

Phys.Rev.D84:024034,2011

Physics

High Energy Physics

High Energy Physics - Theory

v2: 29 pages, no figures; references, more material added; identification of the cutoff scale corrected; v3: 32 pages, publish

Scientific paper

10.1103/PhysRevD.84.024034

A general diffeomorphism invariant SU(2) gauge theory is a gravity theory with two propagating polarizations of the graviton. We develop this description of gravity, in particular for future applications to the perturbative quantization. Thus, the linearized theory, gauge symmetries, gauge fixing are discussed in detail, and the propagator is obtained. The propagator takes a simple form of that of Yang-Mills theory with an additional projector on diffeomorphism equivalence classes of connections inserted. In our approach the gravitational perturbation theory takes a rather unusual form in that the Planck length is no longer fundamental.

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