de Sitter gauge theories and induced gravities

Details de Sitter gauge theories and induced gravities de Sitter gauge theories and induced gravities

2011-08-31

arxiv.org/abs/1109.0016v2

Physics

High Energy Physics

High Energy Physics - Theory

Sections added. Text reviewed. References added. 14 pages, no figures. Final version to appear in EPJC

Scientific paper

Pure de Sitter, anti de Sitter, and orthogonal gauge theories in four-dimensional Euclidean spacetime are studied. It is shown that, if the theory is asymptotically free and a dynamical mass is generated, then an effective geometry may be induced and a gravity theory emerges. The asymptotic freedom and the running of the mass might account for an In\"on\"u-Wigner contraction which induces a breaking of the gauge group to the Lorentz group, while the mass itself is responsible for the coset sector of the gauge field to be identified with the effective vierbein. Furthermore, the resulting local isometries are Lorentzian for the anti de Sitter group and Euclidean for the de Sitter and orthogonal groups.

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