Generalization of the Extended Lagrangian Formalism on a Field Theory and Applications
@article{Deriglazov2011GeneralizationOT, title={Generalization of the Extended Lagrangian Formalism on a Field Theory and Applications}, author={A. Deriglazov and B. Rizzuti}, journal={Physical Review D}, year={2011}, volume={83}, pages={125011} }
Formalism of extended Lagrangian represents a systematic procedure to look for the local symmetries of a given Lagrangian action. In this work, the formalism is discussed and applied to a field theory. We describe it in detail for a field theory with first-class constraints present in the Hamiltonian formulation. The method is illustrated on examples of electrodynamics, Yang-Mills field, and nonlinear sigma model.
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