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math-ph2019★ 3 cited
Symmetry transformations of extremals and higher conserved quantities: invariant Yang--Mills connections
Luca Accornero, Marcella Palese
We characterize symmetry transformations of Lagrangian extremals generating `on shell' conservation laws. We relate symmetry transformations of extremals to Jacobi fields and study…
math-ph2019★ 2 cited
Higgs fields induced by Yang--Mills type Lagrangians on gauge-natural prolongations of principal bundles
Marcella Palese, Ekkehart Winterroth
We address some new issues concerning spontaneous symmetry breaking. We define classical Higgs fields for gauge-natural invariant Yang--Mills type Lagrangian field theories through…