https://doi.org/10.1140/epjc/s10052-012-1991-4
Regular Article - Theoretical Physics
de Sitter gauge theories and induced gravities
1
Instituto de Física, UFF–Universidade Federal Fluminense, Campus da Praia Vermelha, Avenida General Milton Tavares de Souza s/n, 24210-346, Niterói, RJ, Brazil
2
IFSEMG–Instituto Federal de Educação, Ciência e Tecnologia, Rua Bernardo Mascarenhas 1283, 36080-001, Juiz de Fora, MG, Brazil
* e-mail: sobreiro@if.uff.br
Received:
11
October
2011
Revised:
5
March
2012
Published online:
8
May
2012
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 Inönü–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.
© Springer-Verlag / Società Italiana di Fisica, 2012
