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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/247873
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