Generalization of the Extended Lagrangian Formalism on a Field Theory and Applications

Details Generalization of the Extended Lagrangian Formalism on a Field Theory and Applications Generalization of the Extended Lagrangian Formalism on a Field Theory and Applications

2011-05-20

arxiv.org/abs/1105.4171v1

Phys.Rev.D83:125011,2011

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, to be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.83.125011

Formalism of extended Lagrangian represent 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 non-linear sigma model.

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