We review the notion of a gauge natural theory and discuss in particular its role in implementing the very basic principles of any reasonable fundamental physical interaction. Conservation laws are investigated in this general framework by means of Nöther theorem together with the theory of superpotentials for conserved currents. Tetrad gravity and Wess–Zumino model interacting with a gravitational field are considered as pedagogical applications of the gauge natural framework.
On the gauge natural structure of modern physics
FATIBENE, Lorenzo;FERRARIS, Marco;FRANCAVIGLIA, Mauro
2004-01-01
Abstract
We review the notion of a gauge natural theory and discuss in particular its role in implementing the very basic principles of any reasonable fundamental physical interaction. Conservation laws are investigated in this general framework by means of Nöther theorem together with the theory of superpotentials for conserved currents. Tetrad gravity and Wess–Zumino model interacting with a gravitational field are considered as pedagogical applications of the gauge natural framework.
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