An Interacting Geometry Model and Induced Gravity

Details An Interacting Geometry Model and Induced Gravity An Interacting Geometry Model and Induced Gravity

1996-12-12

arxiv.org/abs/hep-th/9612135v1

Gen.Rel.Grav.21:651-658,1989

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, TeX, requires phyzzx.tex

Scientific paper

10.1007/BF00759074

We propose the theory of quantum gravity with interactions introduced by topological principle. The fundamental property of such a theory is that its energy-momentum tensor is an BRST anticommutator. Physical states are elements of BRST cohomology group. The model with only topological excitations, introduced recently by Witten is discussed from the point of view of induced gravity program. We find that the mass scale is induced dynamically by gravitational instantons. The low energy effective theory has gravitons, which occur as the collective excitations of geometry, when the metric becomes dynamical. Applications of cobordism theory to QG are discussed.

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