Progress of Theoretical Physics · 1982 · 27 citations · 1 references
Natural SciencesMathematicsPhysicsDynamical SystemsMathematical PhysicsTheoretical PhysicsCanonical TransformationsGauge TheoryLagrangian MechanicsLie AlgebrasLie GroupsQuantum Field TheoryElectromagnetic Gauge InvarianceField LagrangiansGauge ConditionsGauge Field TheoryGauge SymmetriesGauge TransformationsSingular LagrangiansYang-mills Theory
A formulation of point mechanics with singular Lagrangians is developed further on the basis of the Poincare-Cartan invariant form. Its extension to field theory is also made. Properties with respect to gauge transformations of the electromagnetic and the Yang-Mills fields are discussed in the light of this formalism.
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