Clebsch-Lagrange variational principle and geometric constraint analysis of relativistic field theories
Clebsch-Lagrange variational principle and geometric constraint analysis of relativistic field theories
Inspired by the Clebsch optimal control problem, we introduce a new variational principle that is suitable for capturing the geometry of relativistic field theories with constraints related to a gauge symmetry. Its special feature is that the Lagrange multipliers couple to the configuration variables via the symmetry group action. The …