A new geometrical framework for tetrad-af ne formulation of gravity, pure or coupled with Yang–Mills elds, is proposed. After analyzing the geometrical prop- erties of the new mathematical setting, eld equations are deduced from a varia- tional principle in the Poincaré–Cartan formalism. A generalized Noether Theorem is stated and classical relationship between symmetries and conserved quantities are recovered in the newer scheme. Some explicit examples are given.
A new geometrical look at gravity coupled with Yang-Mills fields
CIANCI, ROBERTO;VIGNOLO, STEFANO
2004-01-01
Abstract
A new geometrical framework for tetrad-af ne formulation of gravity, pure or coupled with Yang–Mills elds, is proposed. After analyzing the geometrical prop- erties of the new mathematical setting, eld equations are deduced from a varia- tional principle in the Poincaré–Cartan formalism. A generalized Noether Theorem is stated and classical relationship between symmetries and conserved quantities are recovered in the newer scheme. Some explicit examples are given.File in questo prodotto:
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